Mamma with son looking for fresh start home

Hey guys!
Me (34yo) and my son (3yo) are looking for an apartament that can be small as 1 room, big as 3 rooms, the best would be in or around Neukölln, because our life is here but we are desperately looking so other areas might might work as well! Long term definitely prefered but short term at this point would also work.
I am working as a piercer, my son goes to Kita, we are laid back people, but also very respectful. As one of us is still small, we do not do parties at home and we like piece and quiet. I am from Lithuania and my son is half lithuanian half italian.