Pics of the pump and skimmer. We borrowed my brother in law’s vacuum attachment but would like to get our own if we can get the setup figured out. What do you recommend getting?

Whichever way the handle points, the opposite side is closed. Right now each valve is set to 50/50. So turn the handle on the left one way and see what shuts off. Then turn it the other way. If one way shuts off both skimmers, they're teed together and the other should kill the main drain, which you figure by process of elimination. More likely, but not guaranteed, each skimmer gets shut off individually. That means the drain is then plumbed through a skimmer.
We;ll stop at this step and wait for your report.