You can restuff them if you want, as many people do. Just bear in mind the sizes of the caps you're getting.....they all have to fit inside that tube.
When you cut apart the can, you're going to find that the wire terminals are attached to a thin ribbon of aluminum which won't take solder. You'll need to drill holes in the phenolic wafer and feed the wires down through the chassis. Doing so successfully is an art form.
Myself, I'm a mechanic
. I do the filters by snipping the wire terminals off the can one at a time, and use the can ground to anchor the new cap in place (most of the mounting tabs already have holes in them....some unused). I then trim and de-solder the cut terminal, which leaves a ring that I can slide right over the terminal wire of the new cap...then solder in place. Naturally, I use all axials for this.
With practice, the repair is neat and clean, and doesn't disturb too much underneath, facilitating future diagnoses if you ever need to.