Hand replacement or restore

You bought a vintage watch which is more than 60 years old and such oxidation changes are common on hands of a vintage watch.
You must have not looked at it very carefully prior to buying.
If you want a new looking watch you can send it to Omega in Switzerland and for 1500 or more CHF they will replace the hands and probably the dial and much of the movement. But then you won’t have much of a vintage watch anymore. If you have just shiny new hands installed then they will look very out of place with the rest of the watch. And forget about trying to clean them yourself they will be destroyed in the process
So if the appearance of the hands is unacceptable I would sell this watch and either 1) buy another vintage with better condition of hands, first examining it under magnification , or 2) buy a new watch without these concerns.

A competent watchmaker can remove some of the oxidation and make the hands more presentable. Although you could have them replated and relumed, they wouldn't match the general condition of the watch and would look out of place.

After I bought this 165.003, the lume on the hands, inexpertly added by a previous owner, irked me and my watchmaker carefully cleaned it off. Here’s a before and after…