Picked this up the other night

[DavidJayUden]

Be very wary of local gunsmiths because they may be great with Glocks but the vast majority don't know beans about Lugers. Any alterations from original, including refinishing, is a big decision not to be taken lightly. Personally I'd take both the '37 and the artillery apart and soak them, then go over each piece with a soft toothbrush with solvent and oil. Be cautious with steel wool. I know other members who know more suggest it, but go easy on the elbow grease. You do not want to fade the bluing.
Read up on how to safely remove the left grip panel. If you are not competent to disassemble/reassemble, check YouTube.
Anyway, welcome aboard. Guns like yours make great hands-on projects.
dju