I need help I'm so tired

we have a few dogs one wakes up wanting to go the bathroom a few times a night at least 3 times a weeks of not more, this has happened since we got him. Anyways it was fine before I had a baby, I'm up most of the night with my baby wanting to be held well this has become a problem. Some times he just sits outside and doesn't go I can't leave him in his crate because he may use the bathroom in there if I don't let him out, it's starting to make me mad just because of the lack of sleep obviously it's fine when he needs to go but when he doesn't then it just becomes a hassel. We cut his water off at 5 or 6, the vet says no UTI or anything like that. My other dog has never had this problem and has never wanted out at night only once maybe. What can I do about this. If I don't let him out he will just whine and whine.