I skipped the pullups, buying crib covers, like lap pads but bigger, that are waterproof. I kept new bedding by the bed and washed whenever necessary, but the crib covers helped a lot.
Potty training is a lot about the psychology of it. If they are wet and uncomfortable, need to be roused, bed changed, showered off, re-dressed and put back to bed, their mind will begin to see it as a difficult procedure, and start looking for ways to correct it. After about a week to a month of this routine (which hubby and I traded off on and tried VERY hard to keep our paitence and kindness, expressing only disappointment (aw bummer) and encouragement (suggesting solutions)), we changed strategies...
We began to get our son up after about 2 hours and put him on the potty. Then we'd try and be able to hop up and get him on the potty if he woke again before he wet the bed/himself. Any time we got up during the night for water, the other kid, the pet, whatever, we'd put him on the potty before we went back to bed.
He hasn't wet the bed in about four months, but we still put him on the potty before we go to bed (about 2 hours after he does), but now if he wakes he comes to tell us and we send him to the potty on his own. (We can't seem to convince him yet he doesn't have to tell us.)
Good luck and hopefully you can get something from my experience!