Self contained house

I would like preferably a one bedroom house self contained or minimum a studio flat. I am a first time mother to a 3 month old and need a stable home. I do like the newly refurbished house look better and potentially somewhere with bills included would be nice. I’m a very clean person and take good care of what I’m given. I’m looking to move in as soon as possible. I will be looking to claim housing benefits to cover the rent as I’m a single stay at home mom who’s not working so properties that accept this will be amazing.