SO.
For no reason I can determine, we got several gallons (we're thinking 10 or so*) in our basement with the storm tonight. Started out with a cursed, yet not unmanageable sized puddle, so I called
coprock home from the apartment and told him to bring the mop and bucket. By the time he got home, it was halfway across the room. Eventually made it to the other side.
kalmn is a rockstar, and brough her shop vac over and helped mop and vacuum.
coprock hauled ass to Home Depot and got there just in time to get us a shop vac of our own, and a dehumidifier, both of which were on our list of things to buy soon anyway.
So, right now there are no puddles left and the dehumidifier is going. We'll see what it looks like in the morning.
(* Doesn't sound like a whole lot until it's all over your floor.)