I use a hand strap all the time on my SX50. When I upgrade to a DSLR I will be getting another for that. They are very secure, convenient and comfortable. The cheapo one I bought from ebay can certainly handle the weight of the SX50 and I would be happy to try it with a DSLR + tele zoom. It is no great inconvenience fishing around my over shoulder camera bag to change batteries with it attached. It is also a deterrent to theft. I recommend trying one out as they are very cheap.
They can become moist with sweat in hot weather but I just pull my sleeve under it which solves that issue.
I rarely use a tripod, preferring instead to use something in the environment. When I have the occasion to use a tripod it depends on the situation to keep it attached or not, usually not.