Ahh. Oh well. Where would one go to find something useful?
Assuming 'on the cheap', my first choice would be just sticking some mid-grit wet/dry sandpaper to a smooth & flat piece of wood. The sandpaper can be purchased at Walmart or Home Depot or Lowe's, or any other hardware store (Ace, etc.). The sandpaper runs about ~$1 per sheet or so. A little bit of craft glue, or rubber cement or other temporary adhesive can be used to stick the sandpaper to the wood. Use it like a strop, with edge-trailing strokes. Anything from 220-grit and up will work, to either create, restore or maintain your edge, depending only on how fine you want go with the finish. 220/320-grit will be fairly coarse & toothy, 400-800 will leave increasingly fine degrees of 'satin' finish, most closely approximating a lot of factory edges, and 1000+ grits will work to leave a near-mirror polish.
At Home Depot specifically, you could also pick up a Norton 'Economy' stone in silicon carbide for about $7 or so. Ace Hardware carries very similar (nearly identical) stones under their own brand, for about the same cost.
You could also pick up or order (online) a DMT 'credit card' diamond hone, in Coarse, Fine or Extra-Fine grit, for about $10-$12 apiece.
The above suggestions in silicon carbide and diamond will handle most any steel, which is why I suggest them specifically. Other 'inexpensive' stones, such as 'natural' Arkansas stones, might not be very effective with more modern and wear-resistant steels.
David