kitty trapped

We trapped the kitten and he is now in my bathroom downstairs in a big dog crate. He is very timid but I did manage to hold him twice today and he purred as I rubbed his ears and belly. He will stay in the crate for a few days and then I will let him stay in the bathroom for a few more days. After he is calmer I will let him into the downstairs basement. The Boy wants him to be a garage cat. I am going for a downstairs /basement cat until he proves he is a good kitty/ then whole house kitty. Oh yeah - I plan to keep him only if the vet says he is healthy.So far I see no fleas or mites. I worry the other stuff cats can have so I am wearing gloves and keeping him away from other pets until he sees a vet this week or next.