Thanks everyone.
@RoyCoinBoy: yes, no steel wool at all, bad idea even for the second coin. I will mechanically work on this one under the microscope, using a small chiesel and a dental instrument.
@DavidUK: true, cleaning ancient coins is more an adventure, another side of numismatic, where lot of patience (and knowledge) is involved. I do have more of the first one.
@Moxking: the first coin will enjoy a long bath in olive oil.
However, I found these 2 videos, where the uploader took an archeologist way to protect ancient coin. A process with lot of care, even for an unrecognizable coin. Part 1:
https://www.youtube.com/watch?v=53q8cxaMuvEThe uploader also suggested a couple of books in the videos.
The benzotriazole is not something that I would use in my apartment, but the chemical reaction seems to be helpful in treating the bronze disease, more than sesquicarbonate.
Did anyone tried this chemical solution for bronze coins? Just interested in knowing if Verdi-Care can be a better idea.