I also let my dog sleep on my bed. Got him at 10.5 weeks and he's 16 weeks now. He's never had an accident in my bed and I like it because I'm instantly aware when he has to go. He can sleep through the night now (though I usually have to get up myself once, so I take him out too.)
My bed is very high, though, so he is not yet jumping off it. I'm impressed that a nine week puppy is jumping off your bed. It took my dog a few weeks to be able to go down steps.
What you might find helpful is to take up water a few hours before bed. Frankly I don't do that, and never really did it - mostly because we were having such a tremendous heat wave (even though I have AC we were out a lot) and I wasn't comfortable doing it, and since it wasn't a factor in his nighttime house training, I didn't feel I needed to. But since your pup is having a problem at night, you might want to take up the water. Also to make sure he has a good play session before bed, so he is tired and sleeps, and then, if you get up half way through the night, take him for a 15 min walk or so, so that he is tired when you return to bed.
I'm not sure what to do about your problem with the pup getting out of your bed. When my pup gets to that point, I actually think he'll be housetrained anyway, since he's been good for a bit, though I'm not sure I'd trust him roaming the house in the night since he's still a little young and teething to be unsupervised. His favorite place to sleep actually is the cool tile floor in the bathroom as opposed to his crate, and I might try blocking him in there. If you can think of a way to keep your pup in your bed, since that's where you say you prefer him to be, maybe moving the bed against the wall and sleeping on the open edge, or putting up some sort of barrier, that might work, but if not, you may have to either close your bedroom door, put him in a crate in your bedroom, or keep him in the bathroom.
As for during the day, we spent a lot of time outside, in the am, so that when we finally went back in, he was ready for a long nap. In the afternoon and evening, I was taking him out a lot, sometimes every half hour, after every play session, every cat nap, etc. The good news is it doesn't last more than a few weeks, and the pup will have more control.