My watchmaker won't quote until he has looked inside. This means I have to wait for the quote, usually a couple of days. It means he doesn't have to charge an uncertainty premium.
Regards polishing, the word means different things to different people. To some, it means useing an electric buffing machine, to others it means a wipe with a clean cotton cloth. Most jewellery just needs a clean, & your watch falls into that category, IMO.
The major danger is in rounding off the edges. You may notice the bevels on your watch are slightly rounded, due to the watch being worn & the apex where each flat surface meats has rounded slightly. That watch has been looked after, but has seen some good usage. Now, imagine a century of wear, all happening artificially in 30 seconds, while somebody with different tastes polishes your watch. That is what you risk.
I use a cloth dabbed in baby oil to clean the exterior. Works for me.
Here is a pic of my gold filled Constellation. Somebody polished it prior to my ownership. You may notice the widest edges are quite rounded. Many collectors would rule out purchasing it, for that reason.
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