Help Flushing Cooling System

i have a copper waterblock and copper heater core. i was runnin tap water (i know) and blue food coloring and it has left a residue in my hoses so im sure there is build up in the heater core and block. i also had some radiator lube in there too.
so would vinegar help or what do u guys think the best chemical and process be to flush this thing right?

thanx all!

anyone?

i am sorry i dont know much about this, it really depends on how hard the stuff is to shift, whattever you use, make sure all of it is out of your system before you put in distilled water(you are arnt you?) try oven cleaner