Places that are good for private conversations?

Sorry if I'm wording this weirdly. I'm meeting up with a family member in a few days to discuss basically why I want nothing to do with them. I want to be in public, but want to have some privacy because it's going to be a while thing (not yelling or anything, just some privacy would be nice)

Does anyone know of a good place for this, be it a restaurant, Cafe, bar (I'll definitely need a drink, so that's be convenient), etc. This seemed a bit to specific to search for