Depends on whether you are replacing the badge with the backing plate or not. If not, you simply use a thin precision driver to pry the old emblem off the backing plate.
If replacing the entire item, a prying tool would be best but many don't have if you don't deal with this stuff daily. A thin broad front (about 8-10mm) object placed on the underside of both the right and left, Pry away from the body to pull protruding tabs out of the inserted rubber grommets.
PS: Use a cloth between tool and paint work to prevent scratches.
Easy Peasy!!! :thumbs: