Just bought a new butterfly mop, laugh all you want, but I am not used to mopping ... any advice?

I am used to a Swiffer Wet Jet, but don’t like the film they tend to leave on certain floors. I purchased a butterfly type mop and am wondering the best way to use it.

I was told to mix vinegar with some water and mop then wring out in the tub (and of course clean the tub after), do you have any better or different suggestions…. for cleaners or tips for mopping?