If you put 0.011s on, you will need to tighten the screws in the trem claw. It will raise a LOT. You might also choose to add a spring, depending on how many you have now.
It's extremely easy to adjust for string change as far as the trem goes. A little practice and you'll be an expert. YOu will probably want to adjust it every few strings changes, or at least seasonally.
The bigger issue is that you will want to intonate it and may find that you need to adjust bridge height for the bigger strings. I usually don't find height to be an issue when going between 0.010 and 0.011 (which I have done on a few guitars) but the intonation will really need to be done. That is also easy, but takes a little patience.