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For the minimum equipment you can just get a hone and a 4-sided paddle strop. (you don't need a separate hanging strop - you can use one side of the paddle strop, instead)

The hone can be either...

Also, if you are trying to restore a dull razor, you'll probably need a coarser hone to reset the edge. A coticule, by itself, won't do it, ro at least, won't do it before your arm falls off.

I only started using a stright recently, so for me, the pasted strop puts the needed sharpness on the razor. I'm sure the more experienced honers on the list can get a great edge with just the hone,...

Gavin,

I started out with an 8000 Japanese waterstone, plus a hanging strop and 4-sided pasted strop with 3 micron, 1 micron .5 micron and .25 micron, both strops from Tony. This was all I...