(Personally, I'd avoid the mouse pad. It's too soft, and tends to be a source of frustration when trying to learn convexing, rounding edges if not very careful. I prefer a thin layer of firm leather, over wood backing.)
Wet/dry sandpaper in the 220-600 grit range should be a good start. Conveniently, these grits are most widely available at most home centers & hardware stores. A flat & smooth piece of wood as the backing for the paper is a plus. Home centers often carry some 'project' or 'hobby/craft' cuts of poplar wood or oak in convenient widths for a strop block, and in lengths from 2' and longer. Some contact cement or double-sided carpet tape (2-1/2" width) can be used to stick some leather to the wood. If leather isn't conveniently available, a layer or two of fabric like denim, or a few thicknesses of printer/copy paper in between the sandpaper and wood will suffice as a forgiving substrate to create some convex in the shoulders of the edge grind. As mentioned, this can be done on a stone, but usually takes some getting used to, if you haven't done this before.
The leather, sandpaper and wood can be 'assembled' into a handy convexing & strop block, as seen in the pics below. The sandpaper can be cut to width and wrapped around the block ends and taped, also as shown below. In that example, I used 2-1/2" wide red oak (1/2" thickness) as purchased & described above, with the the 2-1/2" wide carpet tape to stick the leather on. Obviously, the length can be tailored to preference; I sized mine to use 'freehand', held as seen in the 2nd pic below.
For stropping, some black, white or green buffing compound (or all three) can be found in the tools section of most hardware stores/home centers.
This is just one way to start, but it works.
David