What a Cat Cafe is (and isn't)
A cat cafe is not a place where you go and eat with the cats. Right now, NEA guidelines do not allow for cats to be eating establishments, though I hear that will change. It's quite a tourist attraction in places like Hong Kong and Taiwan for example.
What a cat cafe IS is basically a management programme to run a Trap-Neuter-Return-Manage programme. It's a place to feed the cats responsibly and where they gather at specific times so you can easily trap them for sterilisation. Their health is monitored. They also are taken to the vet when ill. Someone asked me if it was permissible to leave food overnight at the cat cafe. It is not. The exact same rules apply to feeding as to the cafe. In fact, you probably need to be more stringent when dealing with cleanliness at a cafe then you would ordinarily. You need to make sure it is very clean and well managed. It is also imperative to feed at a specific time and not free form feed, so that you can easily trap the cats.
The cafe also helps to discourage people who feed out of a misguided sense of compassion and end up littering all over the place. It also helps in raising awareness of the fact that there is a programme in the area and this helps to educate the general public.
One thing you DO have to be careful about is dumping. You do not want people to dump at your cat cafe, so do not publicise it widely.