Well, Andy, looks like everyone has been giving you some great advice and tips. I love sports and have always been very active. In fact, it was in the middle of college soccer season when I was diagnosed with Type 1 diabetes. The doctor told me what I had and said that I might not be able to have kids. The only question I had was, "Can I play soccer?" 15 years later, I have found that exercise is the key to keeping my sugars balanced and to my really feeling good. The three key elements are: insulin, food, and exercise. If any one of those is out of whack, I just can't function. So it looks like all the advice everyone has given about finding a sport that you like, finding a partner to exercise with, etc. is a really great start.
A weight trainer I had in the Dominican Republic said that as a Type 1 Diabetic, anaerobic exercise would be most effective (even more effective than aerobic). I haven't been able to find definitive studies showing that one is better than the other for Type 1ers. But here are a couple of interesting articles I found:
Research shows that a combination of anaerobic and aerobic exercise produces the best results in reducing our hemoglobin A1C values
Time Health: The Best Exercise for Diabetes
Benefits of anaerobic activity (strength training)