A couple of weeks ago, I picked up a Harbor Freight 1x30 belt sander, for w hich I had a coupon. Total price was under 30 bucks.
I bought a leather belt
I also bought a 120 grit belt (finest grit I could find locally) and have o rdered some finer belts (up to 800) which should be here in a few days.
I tried a couple of kitchen knives with the 120 followed by leather. HOLY C RAP! I have been sharpening knives for 40+ years, and i'm impressed. While the 120 belt left some noticeable "grain," the edge is nothing short of sha rp. It shaves easily, and slices vegetables, meat and paper like a sharp kn ife should.
The truly amazing part is that the whole process took less than five minute s. A proper progression through successive grits, say 120, 240, 320, 400 sh ouldn't take any longer and will yield a prettier (if not more functional) edge.
Y'all may want to give this a try.