Any tips on how to mount a camera to your motorcycle to take pictures while riding?

If you don’t want to buy a GoPro (made for this purpose, incredibly useful in that they are durable and good quality) then I would suggest the Capture Camera Clip System. I have it, I kickstarted it back when it was just in fledgling form. It works great. They have an alternative base that allows clipping on to all sorts of things like handlebars, luggage racks, etc.

Capture Camera Clip System for sale on Amazon $79.99