Bridges, one of the Gretsch rabbit holes. First I’d recommend you play the guitar for a few months after a good set up. Honestly, it may need nothing.
If you do still want to up grade the bridge there are great choices out there. I’ve had Tru-Arc, Compton, cheap roller bridges and expensive roller bridges. My preference. On a floating bridge I prefer a Compton or Tru-Arc. On a fixed bridge I prefer a high quality Roller bridge like the ABM 2400.
A brass Compton that developed a stunning patina on my 6120-59, floating bridge.
ABM 2400 on my 5420, fixed bridge

If you do still want to up grade the bridge there are great choices out there. I’ve had Tru-Arc, Compton, cheap roller bridges and expensive roller bridges. My preference. On a floating bridge I prefer a Compton or Tru-Arc. On a fixed bridge I prefer a high quality Roller bridge like the ABM 2400.
A brass Compton that developed a stunning patina on my 6120-59, floating bridge.

ABM 2400 on my 5420, fixed bridge
