pressure tank

[Montana Rog]

I noticed while my wife was in the shower, the pump continued to cycle on and off. Would a small pressure tank cure that? I would mount it under the sink somewhere in the supply line after the pump. Where could I get such a vessel? I think it would need a bladder inside to work properly. I don't usually use the pump, but when it's cold out and the hose is disconnected, I use the pump and freshwater tank.