You should leave the old one around for a while if you don't want your kitchen floor looks like a... litter box! (if ever your cat doesn't like his new litter box...)

Many cats love covered spaces so I think your cat will choose the new one...

However I read cats feel better if they can watch around them while they do what-they-have-to-do

Finally, your cat would prefer to have his new litter box in a corner of the kitchen... for his privacy