Make sure the neck can handle the added tension. It might be a good idea to use drop tuning. Also, check your intonation, since it will likely change. Lastly, the nut may need to be recut for the larger strings.
Such a small change shouldn't make much of a difference.

The claw on you tremolo springs may need to be tightened slightly but most likely not.
Yeah I've normally had 11s on my old strat and its not that much of a big deal, though I prefer the 10s on it. Might make the tremelo a little bit harder (can remove a spring in the back to make it easier), thats about it.