I'm 60 and have aero's on 2 of my 3 roadbikes. I use them a lot. Good for a restful position, good for powering into the wind, good for just getting down and going for it or comfy cruising. A little practice and you can steer easily around debris, corners etc. Depending on which aero bars you start with, you might find that your back is not as acutely angled as you might think. I recommend starting out with the Profile Century bars offered by Nashbar & Performance and often found at eBay. About $45 to $50. They offer some adjustment in width and angle of your forearms, and they come with a shim for diff sized bars. If you use a computer, worth getting the overpriced ($9) piece of plastic on which to mount your computer.
On the aeros, your weight is evenly distributed and the bike handles well enough. Best to mostly steer with your hips, but then that generally applies. Anyway, they are very useful for both comfort and efficiency. There may be back/neck issues for some, but probably not for most of us. Again, the position doesn't have to be as radical as some might apprehend. Start with your elbows as far apart as possible.