Don't go over a 3.5" lift. A JK is limited to 3" and a JKU to 3.5" without having to replace driveshafts. Over 3.5" will add a lot of addition cost to your lift. Not that you can't, it just gets expensive if you do since you mentioned medium cash range.
They have a lift review at the top of the page you can look through to get a idea of which lifts forum members recommend. Just stay away from Skyjacker lifts. For a cheaper lift, Rough Country gets pretty good reviews. Teraflex is an excellent lift.
I would recommend a minimum of 16" wheels. 15" wheels tend to have balancing issues with 35's. 17" looks great but usually a little more expensive and usually weigh a little more. 35" tires will go better with a 3 or 3.5" lift. 37" tires will probably rub the fender if you disconnect and articulate on the trail. It will work on the road but might see rubbing on the trail not to mention they are heavy. They are a big jump in price and are usually very heavy which adds stress to the C's. You will need a 4.25" back space on 16" and can use a 4.5" on 17X8 wheels or 5" bs on 17X9. The reason for 4.25" on 16's is to clear the calipers.