Hey Bill,
From one 60 year old member to another, welcome to the club. There are several of us in this advanced age range - some a little older, some a little younger - and a pretty good group overall.
As for rides, during the off-season, it is pretty much what gets posted on this message board. Usually a good variety. If you are just getting into riding again, you may want to ask how far and what speed, if they are not stated stated specifically. When the ride season starts, scheduled rides will be posted on the monthly ride calendar on the website and are Tuesday and Thursday evenings (20-30 miles), Saturday mornings (40+ miles) and Sunday afternoons (25-35 miles). Saturday and Sunday rides often have shorter options and we are trying to have a regular shorter, easier pace ride on Saturdays for new riders. But even during the season, people post rides on the board, so check it too.
I look forward to seeing you at a ride. And good luck on your goal...