I've settled into the habit of 'stropping' my (no-name stainless) kitchen knives on relatively coarse-grit wet/dry sandpaper; something like 320-400 grit, maybe 600. Because the steel is soft and has minimal abrasion-resistance, results come very quickly at these coarser grits. Use the sandpaper over a firm or hard backing (thin leather, wood, and I usually use glass).
I've previously tried finer grit ceramics and similar means, but those seem to over-polish the edges and they lose their 'bite' very quickly this way. This steel is just too soft to work well at higher polish.
I was recently fiddling around with using a couple of simple emery boards (nail files) to tune up the edge on an 'inexpensive' 70s/80s-vintage Japanese-made stainless paring knife, and it worked great. These are the black/pink emery boards seen in grocery/drug stores, with a 'foam' core about ~1/8" thick. I used a 'black' emery board of pretty coarse grit, in an edge-trailing stroke with the emery board laid flat on a wooden table (double-sided grit of the emery board holds itself in place nicely on a wooden surface, without slipping), and then stropped the edge on the rough side of my leather belt. This left a very nicely-toothy edge on it, which seems to suit this blade perfectly.
David