Like you, I've been asymptomatic for a long time . . . but sometimes it is still a challenge for me to figure out if a "mood" is normal baseline or a "mood swing." No matter how stable and asymptomatic . . . the diagnosis is always there. Does that make sense?
As far as exercise, it really has become a must for me. But like everything else in my life, I strife for balance between the two extremes. I limit my exercise to a reasonable amount (e.g. 4-5 times a week) and don't go overboard. I walk a lot and listen to music. I gained a lot of weight at the onset of my illness and finally lost it a couple of years ago. The walking helps my mental health as well as helps in keeping the weight off.
I don't know how old your children are, but I think it's pretty normal for children of teachers to feel that their parents "give more" to their students than them. As far as feeling "moody" with your children . . . I think non-bi-polar parents probably have similar feelings. You seem to be able to be reflective about your actions . . . that sounds like decent parenting to me.
Good luck with everything. Sounds like you're doing well. I just found this website this week . . . I'm thinking it will sometimes be nice to communicate with people such as yourself . . . people who have dealt with the diagnosis long-term and are stable. Even though I am a "stable bi-polar" and have been in remission for a long time . . . I am still bi-polar. It really doesn't go away.