The EVO Enforcer 3 inch lift would clear 35s with leaving your fender flares in tact and would look good. This kit comes with everything needed except for a front driveshaft and a drag link flip kit to address the steering. You can add good shocks at the time of purchase also if you dont go with the Kings.
A 2.5 inch budget boost kit like the one Terraflex sells comes with everything needed really and uses spacer pucks on top of your existing springs. Because of that, it will ride just like it rides currently. It will also clear 35s with leaving your flares in tact. I would not get the Terraflex shocks though and either get the kit with the shock extensions and run your rubicon shocks or get the kit with no shocks and no extensions and buy some good quality shocks. This kit will not require the purchase of a front driveshaft as long as you dont get too much drop from aftermarket shocks. If you get shocks that allow for too much droop and your front driveshaft starts to hit the exhaust crossover while wheeling then you would be best to replace the front driveshaft. This kit also doesnt require front lower control arms or a drag link flip kit.
The EVO leveling kit or the Rancho 2 inch kit would be another great option to run 35s if you dont mind trimming your fenders to make flat fender flares or buying some flat flares. Without the flat flares you will rub with the 35s, so another option would to be to run 33s and I believe they will clear with full fender flares but Im not sure. Most people run the 35s. Again, either of these kits would not require front driveshaft, drag link flip kit, or front lower control arms as they are under the 3 inches of lift.
As far as gearing goes you could have 3.73s depending on the year of your jeep. The 4.10s were no longer the standard for Rubicons begining in 2012 or 2013 I believe. So with the 3.73s and 35s it will feel underpowered. It can be done but you will just have to get use to it. With the 4.10s and 35s it will be better and depending on your terrain you daily drive and wheel, they may be fine. I have 4.10s and 35s and dont feel that its an issue. But its fairly flat where I live so if it were hilly then I would be looking at a regear.
You will need something like the Superchips Flashpac or Flashcal or the AEV Procal. The Flashpac does bump up the power with different settings but it isnt much. I went with the Flashcal that will let you adjust the tire size and gear ratio so that it will shift right.
You will also need spacers if you run the factory wheels. I highly highly highly recommend the Spydertrax ones as people have problems with other brands. The Spydertrax ones are both hub and lug centric and thats what you need.