So you have an above ground well pump with pressure tank. If you are maxing out what that pump can do (you should be able to find a pump curve diagram online) you could consider upsizing the pump. But you are correct that before you get that far you run a 1" line from the pump to the spigot and see what your flow is like. Even a 3/4 hose with a long run is going to give some loss of flow depending if you are going up hill or downhill and how far you go.

You can get frostfree hose bibs that have a 1" copper connection on the inside. If the current basement plumbing is exposed you could run a 1" pex line from the output of the pressure tank to the back side of the hose bib, then you would have a slight pressure reduction as you came through the spigot to the 3/4" hose but not much.

You could test flow with the hose and pump going wide open and see if there is any pressure left for running the shower and the dishwasher and the kitchen sink at the same time. If not you either upsize the pump motor or you use a ball valve to restrict flow. Since you have a pressure switch you want to keep the pressure drop as fixed as possible to avoid cycling as was mentioned before.