fixtures

Hello, this bathroom has lots of old stuff dated 1929 up to 1980. I want to update this without damaging anything. What is this type of tub faucet called and how can I safely remove it? It's like half of a ball. The tub has no overflow.

Based on my observations in Puerto Rico, I have noticed some differences with plumbing fixtures in Puerto Rico vs. the mainland. While there are plenty of off-brands installed, I noticed with the major brands I tend to see a lot of American Standard products installed in Puerto Rico. They even...