What engine? If this is a 5.0, and you want to flush the system, remove the thermostat, re-install the housing and flush according to whatever product you use. When completed, drain the radiator AND the block. To drain the block, there are drain plugs on each side of the block that take a hex head to remove. But good luck getting them out if they have never been removed. If you clean the bolts well so you can get a good bite...and apply some heat, they will sometimes come out. But if they don't, just leave them and go to plan B...which may be better anyway. Unfasten the upper and lower hoses from the radiator and stick a water hose in the upper hose. (thermostat is still out) Turn on the water and watch the crud come out of the lower hose. Run it that way for a while until the water is clean from the lower hose. I would also use a hose to finish flushing and cleaning the heater core. Hook back up the hoses, install a new thermostat, and look up the cooling capacity of the vehicle. Fill exactly half the capacity with UNDILUTED antifreeze. i.e. if you have a 16 quart capacity, fill with 8 quarts of antifreeze (2 gallons). Top off whatever is left with water and you have a 50/50 mix of coolant. Be sure and follow the correct procedures for bleeding any air from the cooling system.
Whatever you do, do not leave flush chemicals in the block! Get them out of there by draining the block or flushing by removing the hoses.
Other engines should be able to follow similar procedures.