This version of Kitty in the Corner is played with many bases or corners.
There is one less corner than there are players. So, if you have eight players, you'll need seven corners.
Seven of the eight players choose a corner. They are safe from capture as long as they are in their corner. The eighth player is the Kitty ("It"). The Kitty stands in the middle.
Eventually, when all are ready, the Kitty goes towards a corner, saying "Kitty wants a corner!" This is the signal for as many players as will (but at least two) to take the risk of trading corners.
If the Kitty can beat a player to a corner, the Kitty is now safe and the former owner of the corner will have to become the Kitty.