I think they mainly use their own for their daily private Masses.
MOST do have their own that I know of. Our Priest that I had all my early life (he stayed in our Parish for 30 years or so) had a beautiful jeweled one. He willed it to his nephew who is also a Priest.
Our Pastor has his own and had special things that mean a lot to him put on it. But he never uses this one at Church unless it is a very special occasion. We have 2 complete Mass sets (chalice, paten, ciborium) that always stay at our Church as does our Mother Church.
I believe it is the one thing I’ve heard many Priests say of value that they actually own (religious wise) that it truly theirs.
The 7 men who were just ordained in our diocese told all about how they choose their chalices and why they chose them. It was a very big deal for them. Some of their Moms and sisters went with them to make the choice. One of the men said instead of “yes to the dress” like brides do he said “yup to the cup”.