For electric guitar, I use .010's... a lot of great players use .009's, which make bending easier. Some might find that they lose a little tone going to the lighter string set, but that's a personal perception & choice. The .009's definitely are easier to bend than .010's, and .011's are going to be a real challenge for full note bends!
Since you're new, for electric guitar, try the .009's for a month, then try .010's and see what you think. You'll want to settle on one gauge though because its what you'll get used to as you practice. I wouldn't recommend trying .011's unless you have a really specific reason for it.
For a quality string set, try the Ernie Ball Cobalt strings. A lot of really good players swear by them.