looking for a room to rent (converse or Kirby TX)

Good morning I'm posting this due too some issues and I am needing to rent a room for me &my 29 yr old son that's special needs,,,as soon as possible we on fixed income we can't afford No more.
Than 400 afford we need it to be where we can have our inside cat as well she's a good cat she doesn't bother anyone she's not a people's person she stays to her self and I need it to be the converse or Kirby area for me to still be able to get to work for my job I am a caregiver if anyone has a place or knows of someone Please let me know