Yeah don't really expect your baby to sleep through the night right now. It varies a lot. My son didn't until he was 14 months old. But my daughter did when she was 3 months old. Only because we were co sleeping. But I try not to let them have a nap 2-4 hours before bedtime.

When they start eating solids they will sleep longer.

Some babies dont fully slsep through the night until almost 2 years old. Mines 1 and just started but you dont really want to cutt off babys night feedings

My son is 3mos and we have him on a napping schedule. He naps from 9/930-10/1030, 1130/12-1/130, his longest nap is at 330/4-530/630. From there we do bath,book,bottle, bed at 730/830( depending on last nap). He's in his bassinet by 9 at the latest with 7oz bottle prebassinet. He usually sleeps from 9-330/430 gets bottle and back asleep until 730/8

When my daughter was 3months she slept from 11pm11am and throughout the day she took one nap and that was from 2-4 and she still sleeps like that now I just limit her to one nap and play with her all day so she'll be tired at night