Update:
I'm done with the brake line and fuel line job. To anyone attempting to do this project, be aware that it was a total bear of a job. All in all it took me almost 4 full days. I have replaced engines, transmissions, and done all sorts of custom work. This job was about a 7-8/10 in terms of difficulty mainly due to the tight work space.
The way I did it was:
-Purchased (2) 25 foot rolls of 3/16 Ni/Cu brake line tubing. I bought the rolls off amazon and they came with a spare set of fittings. You are going to need to purchase 2 rolls if you are going to replace all the lines. A single 25 foot roll was hardly enough to just do the rear lines.
-Purchased 2 rear brake hoses and 2 front brake hoses from RockAuto. I purchased the Sunsong brand. Although they work, be aware that the front hoses are not built exactly the way they should be. The hoses are supposed to be secured to the chassis with two bolt, but the "earlobes" on the hoses are not spread far enough to reach both holes so I could only secure to the chassis with 1 bolt. This should be fine, but I would rather have them secured properly with both bolts. Also, one of the brake line fittings in the hose wasn't drilled correctly. I had to re-use one of the OEM fittings on the brake line since the OEM fitting is thicker and stronger than the cheap fitting that came with my brake lines. The connection is strong and leak free, but if you purchase the sunsong hoses just make sure the end where your brake line threads into is drilled straight and the threads in there are in good condition. Make sure your brake line fittings thread into the hole correctly before you start taking your car apart. Rockauto will send you a replacement hose no questions asked if you purchase through them.
-Purchased a 2 foot roll of "R9" spec 1/4" fuel hose from AdvancedAutoParts along with fuel injection hose clamps in size 13. When purchasing fuel hose, you can purchase the standard R6 spec or the upgraded R9 spec. R6 spec is good for up to 50 psi and R9 spec is good up to 200 psi. The R9 spec is also built much better and is compatible with all sorts of fuels including diesel and biofuels. The R6 may be sufficient for the insight but I wasn't sure what the fuel psi was so I just bought the R9 spec since it should last longer anyway and it was only about $2 more.
For tools, you will need a various assortment of pliers, wrenches, pick tools, screwdriver set, a quality brake line flaring tool and brake line cutting/deburring tool.
Once I gathered all this stuff I just dug right in. I supported the rear of the car as high as I could on jack stands and began removing all the underpanels, clips, and finally the brake lines themselves. Work at a comfortable pace, keep your workspace clean and organized, and either take pictures or notes to keep track of how everything came apart so you know how to put it all back together correctly.
The culprit spot where my brake line burst was in the rear near the right rear tire. However, the entire rear section looked like it was ready to go. For some absolutely absurd and asinine reason, Honda decided to coat the brake and fuel lines only up to a certain point. After this point the lines are completely exposed to the elements and will eventually corrode through and fail. It is honestly a little infuriating that Honda would do this. Such an amazing car and yet they decided to not coat a section of the lines which leads to failure. If they had just coated the entire length of lines then corrosion and safety would not be a problem. Why did you do this Honda???
Here is a pic of the lines in the rear where the coating stops. The lines basically run flat along the bottom of the chassis and then bend upward at the rear of the chassis and route to each wheel and the fuel tank. It is right after the lines bend upward that the coating stops. In this picture I have already routed new Ni/Cu lines to replace the brake lines but you can see the remaining fuel lines:
For the brake lines, I just ran an entire new length of lines. For the fuel lines, as ackattacker suggested, it might be easier to address corrosion by simply cutting out the corroded section and replacing it with fuel hose. That is exactly what I did (with the R9 hose). The R9 hose fit very tightly over the remaining coated fuel line sections. I had to apply grease to the line to help get the hose over one of the humps in the line so that I can have a sufficiently secure connection. I then put the hose clamps over the hose and tightened everything down. It is completely leak free and I feel confident about the connection. It would of been a lot more work to route new fuel line so this fix is a nice solution.
You can see that it was only a very short section of fuel line that wasn't coated. This small section corrodes out and can give you a very dangerous fuel leak. Again it just perplexes me that Honda coated 99% of the fuel line but left just this one stupid section exposed.
I ended up routing the new brake lines through the factor OEM locations. You do not absolutely have to do this, but I didn't feel comfortable with alternative routes so I just decided to keep it factory. It was definitely extra work, but I feel it was worth it. It was very challenging especially to route the new brake line behind the fuel tank and make it sit in one of the clips that is up there. I had to use an old section of brake line as a "hook" tool to make it work. In hindsight, I would recommend on planning to lower the fuel tank if you are going to do this job. Most likely your fuel straps need to be replaced anyway if your brake and fuel lines are shot. I didn't replace mine because I didn't have new straps and mine didn't look too bad, but it would of made the job of routing the brake line behind the fuel tank much easier.
Once the rears were done I did the front lines. Although the fronts were still decently tough to do, they were MUCH easier than the rears, mostly because I wasn't rolling around on the floor 99% of the time.
It should be noted that I did not replace ALL the lines under the hood. The lines going from my brake master cylinder to the ABS splitter box were in good shape. I traced them all the way and for some reason the corrosion didn't attack them. The lines going from the ABS splitter box to each wheel were the ones I replaced.
The last thing to do was the flush the system. I used Honda DOT 3 fluid. I only had 2 leaks that needed to be tightened up and they stopped. I was done at this point and am super thankful I'll never have to worry about brake or fuel lines again.
I hope this write up is helpful to someone. I know I missed some information so please post in here or PM me with any specific questions.