Team sports are great! I am really into sports too. I could retire and be happy doing or watching sports forever. This is just an idea so for the price of it(free) take it for what it is worth. You like sports and your GAL activities are great.
This is more for you and your boys. What sports do they do? I think they are only 6? Anyway my point is how can you be involved in their sports? Like for instance I am a swimming official. My D23 swam since age 5. One thing that I am painfully aware of is that parents don't seem to be involved in their children's activities. Actually kind of a pet peeve of mine. All I am saying is that the more you are involved in their activities the better for them. My son was in cub scouts and boy scouts. The kids whose parents were involved were the ones that did the best. Son made Eagle scout by age 16.
You can be a huge influence in their lives. I know that you know this. I guess I am trying to point out one way to do this!