dvsdev
+1y
It's easy enough to do, even doing it the way you mentioned will still leave a air bubble somewhere in the line usually, what you need to do is find a coolant point higher than the rad itself on the motor (or as high as possible) (I used the bypass hose that runs to the thermostat housing) and fill the rad to the top, loosen the hose and let the air out, once air stops bleeding out do up hose again and refill rad, bleed air and refill until water comes out from the connection, this removes most of the air as the weight of the water pushing down forces the air up and out, this works for me everytime I need to mess with the coolant system.
Alot of new cars even have a air bleed bolt on the inlet manifold for this reason