Luckily I have experience with flooding basements; it just comes with living in Massachusetts. The basement in my parent's house used to flood while I was in high school. They had a sump pump in one corner of the basement, so we would use towels to direct water and sweep it into the sump pump. That's how I roll in my current house. No sump pump, but the garage is at the basement level. The water gets pushed into the garage and then out into the driveway.
Unfortunately, a lot of the basement paint is coming up with the sweeping. Not that we were that attached. It is a half-decent basement that I expect we will use well someday, but for now we use it mostly for storage (in Rubbermaid tubs).