The following advice is based on me being a numismatic coin collector first, who likes interesting coins and interesting silver coins and rounds. Once upon a time, I had to make difficult choices and chose to prioritize my life preferences over my stack preferences. So, I sold some stack items to fund life decisions. ... It was difficult, but ... the stack was available ... and ... the choices made life overall better.

I would hold the gold and sell silver first.
Of the silver, I would hold the silver that are interesting / unique / semi / numismatic. These coins were acquired with a premium and I will likely not get that premium back when I sell, and definitely not if I show up selling a lot.
Of the silver, I would sell generic bars and generic rounds, which had the lowest premiums when purchased. At this point, there may be a profit on selling these bars and rounds.
Of the silver bars and rounds, I would sell the largest items first. The 10 ounce or larger would sell first as these were likely very generic.
Fortunately for me, in Midwest USA, I have shops where I have purchased for years and these places were fair when selling. I did not have to consider shipping rates.