Funny enough, as a man, I find this idea of "play sports with others" as a bonding approach, way too impersonal.
I can also find myself being competitive or taking things too professionally, and spent too much time discuss technical aspects and not fostering a more deeper connection with others.
Group activities like this are great for finding your people. You will likely encounter another competitive, technically minded person and no one will be offended if you split into your own group/universe
I think some of it is organic, but it has been interesting to watch city park organizations build (or convert old tennis courts into) new pickleball facilities. It helps to have something that is both active and easy to start. You don't have to be particularly in shape at the beginning, gear needs are low, can be done year-round.
I can also find myself being competitive or taking things too professionally, and spent too much time discuss technical aspects and not fostering a more deeper connection with others.