I'd suggest getting your hands on some other sharpening tools. If the knife is only 'somewhat sharp' now, stropping alone, even if it's only on one side, is likely to go very, very slow, for re-shaping the edge. And the longer it takes, the greater the likelihood of errors (such as over-stropping/rounding the apex). A micro bevel will quickly become a rounded or 'dull' edge, if technique is inconsistent (angle varying between strokes). Additional 'tools' don't have to be complicated or expensive. Just a selection of various grits of wet/dry sandpaper (about a dollar per sheet) on a piece of glass or other hard backing can be very useful. If stropping is your preferred technique, just do the same, but with more appropriate abrasives. The appropriate grit will allow a micro bevel to be applied in a minimum of passes, which increases the odds of getting it done 'right'.
I'd also suggest experimenting with edge-leading technique. Stropping technique is handy, but micro bevels are usually applied edge-leading. This reduces the chance of burring, which can create more issues in trying to clean those up, without altering/degrading your micro bevel in the process.
