I'm no whiz on cart filterss but there is now a new hose attachment designed to get into the pleats on the cart that might make it easier.

What some people have posted is they have a pair of filters and keep one stored in a sealed container with the electric dishwasher powder solution. When they need to change them, they claim the stored one hoses down in minutes before going in.

Maybe Waste or Chem_Geek can help on this.