Burrs form when you hone off a lot of material, particularly at low angles or when you work one side of the edge at a time. Often experts recommend that you work one side of the blade until you form a burr then work the other side. This is good advice for people who tend to hone too little and quit before they actually start to form an edge. Unfortunately this can be bad advice for more determined honers who remove more than the minimum amount needed to create an edge. These honers will get rather large burrs that will require extra attention to remove. One way to reduce burr formation is to always hone into the edge (aka hone "edge-forwards") sort of like you were trying to use your edge to shave your hone. If you work back-and-forth or hone edge-trailing (sort of like stropping) you pull the burr into line with your edge where it escapes abrassion. When you hone edge-forwards the burr gets pull into the junction between the edge and the hone where it gets more abrasion.
Once you have roughly sharpened your blade and create a burr you need to get rid of it. Only certain lucky combinations of steel, strops, abrassive compounds, and techniques will remove burrs via stropping. It is much more common for stropping to simply bend a weak burr into a flimsy state of allignment rather than removing the burr. If you apply too much pressure on your strop while trying to remove a burr you will round your edge.
It is most reliable to remove the burr via edge-forwards honing on a reasonably agressive hone. I like to use a fine diamond hone, but a medium fine aluminum oxide bench hone works well. If you created your edge by honing at 20 degrees per side remove burrs by very light edge-forwards honing strokes at 40 or 45 degrees per side. Only do about 5 to 10 light strokes per side (and alternate strokes left-side, right-side, left-side, right-side). You are sort of dulling the edge (making it more obtuse) at this point so you only want to do enough strokes to remove all trace of burr. After every few deburring strokes go back to your light and see if the burr is gone.
Once you have removed the burr, restore your edge by a minimal number of edge-forwards honing strokes back at your normal honing angle (say 20 degrees per side) using the same hone that you used for deburring.. By "minimal number" of strokes I mean about twice the number of strokes and the same amount of light pressure that you used in your deburring step. Do this while working left-side, right-side, left-side, right-side of the blade, don't work just one side at a time. Repeat this honing process with your finer hones. Don't go too far and create another burr. Keep using your light.
Once you have a fine, burr-free edge it may be ok to strop. I say "may be" since some stainless alloys don't seem to like stropping very much. Some of the harder stainless alloys seem to get duller if I strop them much, even with a very good edge to start with. I often do just a little stropping on plain leather with these alloys or none at all. Commonly I finish these with a few strokes on a ceramic rod v-style sharpening setup like a Spyderco Sharpmaker. I like the edge that I get from the ceramic better than I like the edge that I get on stainless when I strop. Plain carbon steels seem to always like strops, but stainless is much more uncertain.
Be careful how you strop or you will round your edge. Use light pressure and hold the blade at the same angle you honed at or maybe even a little closer to horizontal (a lower angle). Don't do too many strokes. Alternate left-side, right-side. At the end of each stroke flit the edge up and away from the hone. This looks kind of backwards from old movies of barbers stropping.