Everyone's different, OP. But from personal experience, I had all 4 of mine dug out at age 16 under GA - and yes, I looked like a hamster! (But I'd spent 4 years having brace work done, so if my wisdom teeth had been allowed to come through, that would all have been undone)
But I was riding rollercoasters at Alton Towers less than a week later! It's not as bad as you think, as long as you follow the advice with rinsing, and don't dislodge the clots in the wounds (which lead to dry socket).
A tip - rinse (gently) with warm salt water. Tastes awful, but really does do the trick. Soft food, soups etc for the first day or two. And definitely no poking around the wounds with your tongue - have I mentioned that will lead to dry socket?! If you have stitches they'll (probably) be disolvable ones (and you'll be picking them out of your food after about 7 days or so, sorry, TMI!!!)
But you'll be ok generally, honestly. You really don't want them taken out when you're awake, just focus on that! You'll go to sleep, and then wake up feeling a bit sore and looking like a hamster with bruised cheeks, but honestly, I had no issues at all after I was discharged.
Good luck!