You will get all sorts of advise. I have a 2015 JKU sport and ran 35's with 3.73 gears until the tires wore out. I used a simple budget boost at that time. During that time I saved for the 37's and Dynatrac Trail Leader package and new 3 1/2 inch lift to accommodate those 37's. Either way you will want to address brakes, I used the Dynatrac big brake kit and has made the difference between stopping as opposed to rear ended the car in front of me.
You will hear people have run 37's on a Dana 30 with no issues. The biggest hill for those jeeps are the speed bumps at the mall.
There is a lot that goes into bigger tires. Gears, lift size, actual tire size, brakes, suspension parts. It adds up very quickly. Read the posts on lifts and what others have done on this site. Had I done that first, I would have been on 37's along time ago.
Most of us have done this type of upgrade many times on our jeeps until we get it where we think we want it. It seems like 37's are the new 35's and 40's are they new 37's. I will never go 40's without a divorce. It's just way too much.
Bottom line,
35 max for Dana 30
2.5 inch lift, spring or budget boost
Address the brakes
Maybe gears if you have 3.21
Locker for the rear
Enjoy the shit out of it and fiqure out what you need vs what you want.