[Suicide Junkie]

Bases cannot move.

You can, however, put a spaceyard on a ship, move to the warppoint/ empty system, and build a base there.

Press the crown button, and look at the bottom of the budget report.

The base resource storage of an empire is only 50,000 of each resource. The very bottom line shows your actual capacity (base storage + storage facilities)

The second lowest line shows the actual amount stored this month.
Unless you're running a deficit, this will probably be the same as the maximum storage capacity.