1 bedroom/studio 1 month will work but long term is the goal

I am looking for a studio or one bedroom that allows a small dog & cat. Furnished or unfurnished will work also i really need to just get in somewhere so i will take 1 month if thats all that is available. If anyone knows of a mother in law house, carriage, anything of that nature i would be very appreciative. My fiance and I just broke up so i really need to move, this is why i am willing to just go somewhere for a month, anything that is available and i can have my animals will be great. My max is $850, i hope that someone out there can help. 😀