There are foam tiles under the vinyl flooring right? If your rabbit ends up not being much of a chewer, you may be able to just use the foam tiles without having anything on top of it. That's what I used for my rabbits flooring, as they didn't really mess with it. I had the wire shelf, a piece of cardboard on top of that for support of the flooring above, then foam tiles on top of the cardboard. Some rabbits will leave the foam flooring alone but will try and chew the edges and seams. So for mine I used mat tape to tape the seams, and J trim to protect the edges. It slips right onto the edge of the foam tiles.
J trim is used for covering sheetrock edges. There is metal and vinyl trim available, in 1/2 or 5/8 inch. If you need a thinner J trim just for the vinyl flooring, there's something called FRP cap molding, that has about an 1/8 inch gap, even though the description says 1/4 inch. The metal J trim, fit pretty snuggly over the foam tile edge, but I did secure it further using the clear mat tape. Or silicone caulk could be used to secure the edging and keep it from slipping off. Pine 1x2, 1x3, 1x4 boards can also be used for covering edges along the enclosure walls.
J trim for sheetrock
FRP cap molding
J trim is used for covering sheetrock edges. There is metal and vinyl trim available, in 1/2 or 5/8 inch. If you need a thinner J trim just for the vinyl flooring, there's something called FRP cap molding, that has about an 1/8 inch gap, even though the description says 1/4 inch. The metal J trim, fit pretty snuggly over the foam tile edge, but I did secure it further using the clear mat tape. Or silicone caulk could be used to secure the edging and keep it from slipping off. Pine 1x2, 1x3, 1x4 boards can also be used for covering edges along the enclosure walls.
J trim for sheetrock
FRP cap molding