Need recommendations: mat for home training

My kids and I train in both taekwondo and Philippine martial arts. I'd like to get some kind of mat for the floor at home where we can practise. We don't do a lot of takedowns (but I've been eyeing off aikido so that might change). :) Our house is currently carpeted. We're military and move a lot, so we need something that is versatile enough to fit lots of different flooring types and room sizes as we never know what we'll end up with from one year to the next.

Ideas?