Family of 3 in need

Looking for a secure place for my family of 3 possibly 4 if my dog comes with. It'll be my infant son and his father and I sharing a room. I'd love to have a private bathroom if in shared home. Im mostly a stay at home breastfeeding mom but if need be I can go back to work. My partner would be making most of the income for rent. He does uber eats and is trying to get into security for work. He doesnt have the best credit and I dont have any credit but we always pay what we owe and then some regardless of the matter. We are very clean people quiet as can be with an infant but we also know how to have good time and be respectful of others. If my dog comes with, she is a clean, very well trained, quiet for the most part, sweet loving dog. Looking to pay no more then 1000/month total including utility costs and such as we need to save up for our own future.