Advice on vintage Rolex

[T1cktock]

We inherited a vintage Rolex from my FIL that has been sitting in a drawer for 16 years. looking for advice / information about where to get it serviced. i believe it is from about 1955, as the serial number is five digits starting with a 5. It has the Brevet + on the side. the bracelet is Champion 10k with some wear, I think around 1960. The watch runs when I pick it up, but needs attention. Should it go to a RSC or elsewhere, and also looking for approximate value. Not looking to sell, this will go to one of my sons. Thanks in advance for input :)