It's the same as cleaning any other mat: take it out, shake it off, hit it with the pressure washer if you feel like it.
Exactly, you need a pressure washer to clean most rubber mats. Because of the deep (often sharp) edge, corner/slots/wells, or hexagon bumps you need either a pressure washer or a bristle brush to brush the channels in rubber mat to get them properly clean. I just brush (no, just wipe) my Maxpiders with a sponge and rinse.
And no, Tuxmat's are not like any other mat and are a bit more involved (mainly the drivers mat) to get them out and back in. More protection, a little more involved. But the Tuxmat is so tight, you could probably safely clean it, in place. Sometimes I do with the maxpider. Impossible with most rubber mats because the dirt gets trapped in the bottom of the channels.
Yeah, cheap rubber mats are all the same. Maxpider and Tuxmat are both uniquely different than all other rubber mats. Unless you've owned them, you wouldn't understand. I doubt you'd find anyone that bought either a Maxpider or Tuxmat switching back to a conventional rubber mat.
I've bought the conventional rubber mats, usually OEM, for all my prior vehicles. It wasn't till I saw all the hype on the MaxPiders and Tuxmats that I realized some of the 3rd party solutions are better than what OEM offers.
In fact I think I might check now if MaxPider makes them for my other vehicle and chuck the OEM rubber ones, that almost always look dirty (to lazy to take out power wash for just mats and always miss spots when I try to brush all the crevices out, and not so easy to "touch up").