Both my cats perch on the edge of the litter tray to do ther business. Does anyone know if there are litter trays with a lid that still allow the perching position because the open litter tray is in my living room and it isn't the nicest smell and sight when I am eating. I bought the Booda clean step litter tray but the ledge on which to squat is quite narrow so one of my cats actually managed to poo on her leg and then spread it around the house before we could grab her and clean her leg so we brought the old litter tray back in. they will get their cat flap installed next weekend but these are cats who have never been to the toilet outside so I hope we can train them to go. 1) can you train a cat not to perch on the litter tray so I they can use one with a lid (cat is 5) 2) can you train a cat to go to the toilet outside? and if not then can any recommend a litter tray with a lid where they can still sit on the ledge?