I never bothered getting a better strap than what comes with the camera (maybe I should...), but for a DSLR-sized camera I never carry it around my neck - that's just cruel. I make the strap the longest it can be and carry it either on the shoulder (like one would wear a tote bag), or across the body (like a messenger bag, but always in front of me, not behind), depending on circumstances.
I've tried playing around with wrapping the strap around my hand, and it just doesn't work for me. Works for my partner though, so maybe it's just something that's easier if you have larger hands.
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I know there are dedicated wrist straps and slings like Black Rapid. I just can't be bothered to spend the money to be honest. As for neck straps, pointless. the camera needs to be in your hand ready to shoot at all times, not dangling around your neck, even worse, with the lens cap on!
There are exceptions to every rule

It's great to have the camera always ready, but after smacking my X100s into some juicy red mud while hiking up a mountain after a rain (lens first, naturally

), I think I may need to reconsider the readiness/safety balance a tad bit.
Thank dog it was soft mud and not a hard rock, no permanent damage incurred.