The usual way I'd hook up a house to a tank or cistern (such as in a low-yield well situation) would be to have a pump going into a pressure system (pressure tank + switch) and then supplying the rest of the house. The pressure tank would normally operate at 40/60psi: When you draw water, you're always pulling from the tank until the pressure drops below 40psi, at which point the pump kicks on and runs until the pressure is 60psi.
This system also shows the supply side coming from the well, but the supply is really irrelevant.
You can also use a jet pump or pretty much any other type of pump as opposed to a submersible so long as it's capable of reaching 60psi. Some people also run at 30/50. Over 80 and you risk toilet tank valves and faucets having trouble/leaking, and too low and it's just not useful (and the pressure switch probably has a low operating limit too).
There are also pressure switches that have a shut-off feature where if the pressure drops below 20psi, they totally switch off because they detect an "out of water" situation. This is a nice cheap way to go as opposed to more expensive electronic shut-off systems, but when they trip they require a manual reset (flipping the little arm on the side).