Each State varies in their laws and requirements, so you should verify with your local DMV.
But speaking in general terms with your description I'd say 'antique'. You generally pay a one-time fee, can get regular or custom plates, and never have to pay a DMV fee again. Regular plates you pay an annual fee.
If you plan to drive your vehicle to and from work or use the word "commute", then they will force you to get regular plates, and your insurance provider also would not license it as an antique (or classic) vehicle.
The DMV does not have a maximum miles driven, but 'some' insurance carriers do. (I'm not sure how they would monitor it though)
All of my 'birds are licensed and insured as 'classic / antique'. They earned it, why not badge them that way?
I should add that in Minnesota, classic / antique starts at 20 years old. Not sure about other States like CA. Out there, 'classic' cars seem to start at 40-50 years old.
I used to be indecisive. Now I'm not sure. I feel like I am diagonally parked in a parallel universe. 1968 400 convertible (Scarlet) 1976 T/A - 455 LE (No Burt) 1976 T/A New baby, starting full restoration. 1968 350 - 4 speed 'vert - 400 clone (the Beast!) 1968 350 convertible - Wife's car now- 400 clone (Aleutian Blue) (Blue Angel) 2008 Durango - DD 2008 GXP - New one from NH is AWESOME! 2017 Durango Citadel - Modern is nice! HEMI is amazing! 1998 Silverado Z71 - Father-daughter project 1968 400 coupe - R/A clone (Blue Pearl) (sold) 1967 326 convertible - Sold 1980 T/A SE Bandit - Sold