So I thought about it and decided I may have been hasty in my assessment of having rats. I looked up the size differences between mice and rats and viewed pics of house mice and it seems more like I have house mice. This is still bad but I feel slightly better because I figure (at least psychologically anyway) mice are somewhat less disastrous to have. They are still going to have to go though.
House Mouse CC-BY-SA Wikipedia user 4028mdk09 Image copied from paws.org (https://www.paws.org/wildlife/having-a-wildlife-problem/mammals/mice-and-rats/)
©Natalya, Reflections On Life Thus Far, 2016.