Contrary to popular belief...35's arent as easy to stick on a JK as you'll read online. You'll need a minimum of 3" of actual lift. I've got 3, and it might rub on extreme rocks and articulation. I also had to take a grinder to the pinch seam in the rear wheel well, so if you're squeemish about taking an angle grinder or a hammer to the tub of a new JK...reconsider.
35's will stick out of the fenders. Mine do around 2". If you get a 15x8 wheel with more than 4" backspace, you'll be cutting the calipers too. I went with 3.75 BS to avoid this, but my tires stick out more. At 4" or more BS, it's 50/50 on a caliper cut. 16" wheels or larger will clear, no problem.
The 4 doors are pretty forgiving with a lift, so you'll be ok there. The 2 dr's start eating u-joints and blowing driveshafts. The only issue you might run into is you can't get enough caster. My 2 dr is maxed out at about 3.5 degrees. The handling is good, but I'm just missing it being great. That may or may not be an issue. Like I said, 4 dr's are more forgiving. You'll need a rear trackbar or trackbar bracket though, and longer rear swaybar links.
My MPG got NAILED. I was getting 17mpg stock, now I'm averaging 12-15. I've got an automatic with 4.10's and a chip, it drives good and has power, just no fuel economy. New gears would correct most of this, but I'm not worried about it, some folks are.
The good news is 35's look GREAT on a JK. it's a huge improvement offroad too. A suprise to me, is I'm not breaking anything related to the axles. I wheel like an idiot, and my D30 has no problems so far.
EDIT: I almost forgot. Your 3.73's are pushing it like 4jeepin said, even with a manual. If you live in a flat area it might be ok but I doubt it. A rear gear to 4.88 or 5.13 might be required.