I play hybrid 9's (9-46) when playing out. I use 11's for practice. Anything I can do on 11's I can do better and with more confidence on 9's. Why hybrid 9's? Because the low strings on regular 9's feel too floppy to me.
Advantages of 9's: easier bends, easier to pay with nuance... just plain easier.
Disadvantages of 9's: its easier to drive them out of tune with hard picking or aggressive fretting. Also easier make them buzz with aggressive playing.
Advantages of 11's: more constant pitch, and less buzz, with aggressive playing. And they build you up.
Disadvantages of 11's: everything is harder to play.
Whatever you choose, give yourself a week to get accustomed to them.