Better Upgrade Path? Better CDP or add a DAC?

As a result of some significant system upgrades, (new amp and speakers) my current Bryston cd player has begun to sound a bit like the weak link. Hoping to gain some insight into which may be the more effective upgrade path, a better one box cd player, e.g. a used Esoteric, Cary, Ayer? Or add a quality DAC? Not much interest at this point of entering into the computer audio world. Thanks, Jayh31