For how to apply handle wrapping, mainly look at our other page here. But also look at this page for options on "finishing tape".
Off-road cane tips exist. However, I've found it easy to cut grooves into local-store-bought cane tips, to add extra tread to them, using a pocket knife. (It's a little like regrooving a tire, or regrooving a shoe sole.)
There is an important distinction between a cane (that goes up to your wrist), a walking stick (that goes up to around your shoulders), and a quarterstaff (that's taller than you are).
How to make a walking cane
You can make a walking staff that doubles as a staff sling. [1][2]