Basement flooring

[Stewie]

I know there are professionals on this site that deal with this sort of thing.

My sump pump failed for a 2nd time last year in my finished basement and the carpeting that was there is gone. I no longer want anything that can mold or mildew and I was thinking about a decent tile that might work. My question: Is this a practical idea with a slab that has imperfections AND floor drains? Can a really good pro work around the drains and make it look good? I'm not talking about the vinyl tile BS, but real tiles that can be cut and shaped.