DarkSpectre wrote:Get an edge started and then it should just peel off.
It's not always as easy as that, depending on how much the backing has fused with the cloth - when you can peel a badge off, it's only adhered to the surface of the fabric, but it can also bind a bit deeper, making it nearly impossible to remove without damaging the badge or damaging the fabric. A lot of times, when backings are old or cheap, you have to apply a lot of heat to get them to adhere, but you end up really fusing them in place.
If you have trouble getting them to separate, you may have to take to applying heat to whatever glue you can spot, and slowly "cut" away at the glue layer (like, using a wood burning rod.)
Hopefully it'll just peel away.