There are no "real base station" GMRS radios

Pictured here is a retevis RA87 and Wouxun (ocean) kg1000 powered by a 3d printer power supply (best to have a 50 amp) if you are going this route

NEVER KEY BOTH RADIOS AT THE SAME TIME "bad things will happen"

Another setup is a 12v system which is one 12v dc battery. You can also use two 6v batteries wired  in series to bump the voltage to 12vdc . If you go with a battery setup you would have them charged either with solar or a trickle charger .