I usually just use water for the rabbits trays, then every so often I'll use bleach. Usually I just sweep the floor but when I mop I use water and vinegar. I don't use any detergent on their blankets.
For the mice, I'm currently using pet shop spray just because I have some and when I first got the animals I wasn't sure of what was safe and what wasn't. When it's run out I'll probably use vinegar and water again. Vinegar is great at neutralising any smells and afaik is totally safe to use around the animals. If anything particularly needs a mousey smell out then I sprinkle bicarb over it and then a few hours later dump it in vinegar.