Hello, Pleasehelp, use 'sports' in front of a noun: 'a sports centre', 'a sports club'. In your example, 'sport' should be used (it is a mass noun in your case); it can also be used as a regular countable noun (see below). 'Kinds' implies that the addressee of the question may go in for several kinds of sport.
New words, one handy idiom, and a 2-minute quiz — delivered to your inbox to keep your streak alive.