Spray painting the chrome can work, but it all down to being patient & doing it right.
1. Rough up the surface with some sandpaper, don't go too coarse though, 240 grade would be the coarsest to use. Having them sandblasted would be the best option.
2. Prepsol the trim thoroughly.
3. Etch prime, if you don't the paint will come off for sure.
4. Use your top cost of black.