@OP: how "accurate" you want for your 28 yrs old DVM? Are you using it to perform laboratory-grade work?
I'd rather spend the money online to buy a new Fluke meter than fondling with an old 2 decades old DVM, citing that anything over 15 yrs or older (electronic equipment-wise) they are pretty much done/due for a major upgrade in order to keep up to the spec.
Afterall:some old film resistors do have a lot of noise, and old lytic capacitors will drift over time (as they age), so no matter how much you want to bring it up to laboratory-level accuracy, you won't get much out of it.
As a collector for vintage AVO meters, Triplitte, analogue meters, I typically accept no more than 3~5% accuracy. Fluke meters that are within 10yrs of production, I accept less than 1% accuracy.
For general repair use: 1~5% accuracy is more than sufficient. For medical equipment/high end audio repair, I do 1% or less.
For laboratory-grade work with consistent repeatibilty, I take less than 1% accuracy on my test equipments.
Q.