Budget at least $5-6k to run 37s and north of $10k if you want 1-tons.
Axles and gearing are your two biggest issues going to 37s. I have the 6 speed and 4.88 and will be swapping to 5.38s. As for axles, even as tough as 30 spline dana 44s are, you will be finding the limits of the shafts and gears with 37s.
Option 1: The cheapest option and one I recommend would be to find a set of JK Rubicon axles and truss them. Artech and TNT sell JK to TJ conversion trusses that make that part of the swap easy. 5.13 or 5.38 gears. New wheels for the new bolt pattern, new driveshafts, new rear brake lines on the axle, new steering drag link, and long term some RCV or chromo shafts. The JK axles are about 65" wide so that should fix any rubbing issues and make the rig a lot more stable but fender coverage becomes essentially nill. The biggest cost savings is JK rubicon axles already having lockers that just need a switch to operate. Downsides is you have to deal with all the weak links like c-gussets and you are still only running 44s. But much heavier JKs live on 37s with 44s so TJ will have a much better time of it.
Option 2: Order a custom 44 front (G2, Currie, etc.) and then beef and re-gear the rear axle with a 33 or 35 spline kit, new 33 or 35 spline locker, truss, and 5.13s or 5.38s. Jantz engineering sells a Jana k4 kit that lets you use the bigger JK44 gears in the older TJ housing. This is the easiest method but costs more than the JK swap and leaves you with stock width axles and doesn't upgrade the brakes or front hubs. Could be paired with a WJ knuckle swap to get better hubs, bearings, and crossover steering but costs a lot for being stuck with stock width axles (60.5"😉.
Option 3: Super duty axle swap. Again Artech sells a truss kit that makes this swap easy and you get true full width 70-72" and true 1 ton axles. Includes all the costs from option 1 and typically will require a modified fuel tank skid plate which isnt smog legal in california. If you are in a zip that doesn't smog then gen-right sells a bolt in tank that gives extra room. Only real downside of this is 8x170 metric lug pattern and how expensive 1 ton parts are. The donor axles go for $1,000 to 1,500 right now but you will spend at least that again just replacing wearable items. Unit bearings aren't cheap.
Option 4: Custom axles. I did 609s and doing most of the work my self still came out about $11k. Teraflex has some 63" wide dana 60s that are pretty ideal but you are looking at $13k before tax.