Hi Shell, we have two inside cats. They love to checkout everything, infact, in the past 2 days I have found the male sleeping in the capsule and the pram! grrr. We bought a certain bassinet to discourage the cats, from going near it, and they can't get inside it as it has a canopy net on it. We have had it set up already, and the cats aren't interested in it.
The bassinet is here Valco Baby: ...because you care!
its a valco. Due to the shape of it, my cats can't even jump on it (I was just careful not to place it near the chest of draws, or anything they could jump on to get to it. but they leave it alone anyway)

As for the cot, you can get a 'cat canopy net'. its tougher and firmer than just a mosquito net, and stops cats or bugs getting in.
Seriously!! Kids!! Pty Ltd?::?Bedtime?::?Cot Canopy Net

Hope that helps