david weaver
For something that small, you don't actually need a forge or an anvil. A piece of railroad track would be fine, or a piece of plate steel, or a decent machinist vise.

A hand-held torch is enough to heat the end of a chisel or a piece of stock to hammer on it.

I heated my moulding plane irons with just a torch (MAPP and TS4000 torch that you can get at H-D) and later added some lightweight refractory bricks. The bigger irons with a weed burner. I'm still on the fence about getting a proper forge in the future, but for right now, I can make a 4" knife blade, and the higher output hand held torches will get a 2 1/4" wide iron critical in a paint can forge.

Anyway, just an option - sometimes grinding is fun, sometimes hammering is fun. Sometimes buying a nice tool that someone else made is fun.