Welcome. I do not think 60 is old at all. I bought my first bike in the middle of June-first time ever on a bike at the age of 37. It was a "mode" bike, by Giant called Giant Suede W. It was more bike than I wanted. Then 3 weeks later I wanted more power-who could have guessed? Not me. 37 years being terrified of bikes...So I had this nice bike, and wanted a new one. I ended up with a Trek 1000 and I love it. I spent $650 on it. Trek makes some lovely comfort and hybreds for less. Do I have a point? Think about what you may want to do. It hurt financially to buy another bike just 3 weeks later. Fortunately the bike store where I bought my Trek was willing to give me store credit for my Giant (bought at another LBS).

Best advice, think about your needs/future goals, and go try out as many bikes as you have time for. When a bike fits, you will know it. It will just feel as though it belongs under you.

Above all, have fun!