Well, there's as many different ways to sharpen an axe as there are people to sharpen them, but if you have an hour to spare, I'm linking a USFS documentary that's pretty good and covers lots of important axe tips beside sharpening. Personally, I take out large nicks with a file (yes, it's slow work but much safer for the axe than more aggressive methods), then work my way through 3 or 4 grits of stone and finish on a leather strop. A belt sander turned upside-down and run through several grits from 60 or so up to 320 or so then finished with a fine stone or two and stropping also works. Take out all your nicks and shape your edge with the coarsest belt you have--the coarser the abrasive the cooler it runs and the faster it will go. Either way will produce a shaving-sharp edge which, if properly beveled, won't be too fragile for a bit of rough work such as frozen wood or the occasional knot. If you go the belt sander route, keep the blade cool--dipping it freqently in water and using a lube like WD-40. A bench grinder is usually a bad idea--too easy to burn the temper out of the blade and it produces a concave edge, which is not what you want on an axe. If you were in NY I'd be happy to do it-I enjoy axe sharpening and often get "volunteered" to do it for friends.