Basement Flooring

We live in a bi-level so half of our living space is halfway underground. I am stumped on what kind of flooring to lay downstairs. Being half underground, the cement floor is cold (and it can get damp down there). I know I definitely don't want carpeting, especially with our four dogs coming in and out of the house down there regularly. I am thinking either a ceramic tile or one piece laminate flooring that looks like a wood or ceramic tile floor. If I go ceramic, it will probably stay cold which won't be too comfortable in the winter (unless we make it heated underneath). If I go with a one piece, it'll mop up easily from the dogs (but be hard next to the cement like that).

I didn't think when we bought this place how hard it would be to modernize it. It's been expensive so far and we haven't even finished one level yet!