Know any coaching centers for Basketball/Swimming?

Swimming - Nisha millet's Academy is pretty popular. I learnt there. Do check out your preferred location though. I went to Nalapad Academy and loved it. Basketball - No academy that i know of, but there's this community, "Sisters who sweat". They play every week. If you're a dude, they've got "sisters with misters" every tuesday iirc. Otherwise, just find friends to play with. I used to play at a decent level myself.