There is no best way to do it… For me… I'd say pull the badges before painting. The front badge comes off with very little work and will also separate into two pieces making the job of two color painting a breeze.
Note.. there is a small piece of 3M tape behind the front badge so it hangs on even when you have loosened all of the little tabs- just ease some fishing line between the badge and grille to loosen the last little bit. The rear badge has locating pins that need attention- once off- you can asses your options and take any approach you want.
Vararam Air Grabber, Vararam Power Chamber, 87mm TB, Diablo Tuner with HemiFever 91 tune, Magnaflow Muffler, Boss 338 22 x 9.5, Toyo Proxy 305 45 R22, GroundForce 2/3