When I change the old coolent out (which I just did yesterday afternoon), I back-flush the system first. I use the Prestone kit and Prestone flush.
Drain all the old antifreeze out.
Unclamp the heater hose from the block, clamp a new short hose in it's place, install the Prestone t-section between the two hoses and connect the garden hose there.
Leave the radiator cap off and plug in the Prestone right angle textention tube in there.
Put heater on high.
Radiator drain plug still open.
Turn the garden hose on. When water is flowing out the top and bottom of radiator, start the car and let it run till water comes out clean.
Turn car off.
Remove hose, put the Prestone seal cap on there.
Drain radiator till it's 1/2" from top. Close the drain plug and pour in a bottle of Prestone flush. Put the radiator cap on.
Run the car 10 minutes till warm. Run the car another 10 minutes.
Turn car off, drain everything.
Put hose back on, radiator plug open, radiator car off, Prestone tube in where the cap was, turn on hose. When water is flowing out both ends of the radiator, start the car. Run till water comes out clean.
Turn off car, remove garden hose, drain all water out.
Remove the t-section from the heater hose, reconnect the heater hose, close Radiator drain plug.
Add one gallon of your choice of antifreeze and one gallon of distilled water.
Leave cap off, start car and run to get all the air out. Check for leaks.
No leaks, take the car out for a ride and check the antifreeze level when home.
Pat yourself on the back, job well done!