I often think that fact that I had no brothers and sisters and the only children I spent time with out of school were not really of my choice gave me really no real desire to have children of my own or really be able to interact easily with children even to today. I have even done children outreach etc but often unless a child latches onto me find it difficult. Though I thorough enjoy and appreciate and love watching children and in my own way love them and wish I could interact more. My "friends" either were from church or my parents organised that children in our street visited or I went with them. We owned a shop and our cleaner lived in the same street so often they would arrange for me to go round with her and her children especially in the summer holidays. I feel this is factor in my interaction with children throughout my life.
I'm not a real team sports kind of guy, so I've never encouraged or discouraged it with my kids. However, one son played baseball for a couple of years. One daughter tried out for a varsity level homeschool volleyball team. She just missed the cut. Cub Scouts, Girl Scouts, summer camp, A kids club at church called Awana round out several opportunities.
There are home school based team sports available in most areas. Additionally, community recreation depts. have teams. As a family, we also ski, kayak and ride bicycles. My kids will get a few hundred miles in by the end of the year.