In all honesty , you must ask yourself how much are you willing to spend I would guess that 99.9 of the people that get a lift over 2' end up getting new tires and wheels to match the lift. And we all know what happens if you get bigger tires/wheels you may have to upgrade your gears, etc.. Its a loaded question What are you trying to accomplish ?
If your just looking for brands, I would suggest Old Man Emu, AEV . Of course, more people would chime in with different brands.
Type of lift is dependent on your BUDGET and your PURPOSE for lifting the vehicle. Lift facts:
First, 3" or 4" of lift for a 2011: if you keep it to 3" or less, you won't need new driveshafts right away (stock ones will fail [sooner] with more lift than that due to being stretched out and too short).
$$$ With 3" of lift, and to maintain great drivability, you'll need some way to adjust the caster angle for your front axle to prevent the 'dartiness' feeling during steering/driving and re-center your wheels in your wheel wells (Jeep goes up, tires will sink into the center of the vehicle with stock control arms due to them being shorter). There are many ways to fix this, including adjustable control arms, brackets, etc. IMHO the proper way to go is adjustable upper and lower control arms (or adjustable lower control arms as a minimum). Your budget will ultimately decide what you want to do, however.
$$$ With 3" of lift or more, you'll most likely need a new front adjustable trackbar and a rear adjustable trackbar/trackbar relocation bracket to re-center your axles under the vehicle (each one will have a tendancy to poke out further on one side when lifted otherwise and look silly).
$$$ Brake lines may be an issue for the front and rear - they will be too short when articulated - some lifts use relocation brackets, but the best thing to do is to get longer brake lines (stainless steel braid).
You can see where this is all going! With a simple spacer lift, you'll have axle caster issues, driving handling issues, axles will not be centered under the vehicle from left-to-right, brake lines may not be long enough when suspension is articulated, and driveshafts will give up the ghost due to stress.
IMHO, if you are on a budget and going for looks, keep it to a 2.5-inch budget boost. If you want to stretch your legs and go offroading and have good handling on the road: go with a full-control arm lift kit package with adjustable trackbars and new brake lines. If you go more than 3-inches, expect to have to purchase new longer aftermarket driveshafts sooner or later.
My advice is to study this forum and a couple of others and do some major research. Lifting the JK is not something to take lightly, you need to study up and see what others have done and are doing. Depending on how high you want to go “lifting” when all said and done can get very expensive. When/if you decide to research, have a note pad and pencil handy, it’s very easy to get overwhelmed and forget what you’ve learned. Good luck.
Thanks everyone for your input. Little did I know, the legal lift in my state is only 2". So I'm going to do some more research and probably go with a 2" lift with 33's just to be sure that I can still get a sticker.