First night with pup!

Hi! We have a 4yo girl dog but brought home our puppy today. He’s had a few accidents in house but I’ve been taking out every hour, and he’s peed almost everytime. We praise and give a training treat.

For nighttime and some naps during day we are crate training. I’m trying to prevent an accident for nighttime - what do you recommend for waking up at night to take him out? Wait until he whines? Set an alarm to take him for the first few nights?