Replacing Radiator, should I replace it THEN do an engine radiator flush

I'd do a couple of 'just water' flushes before the cleaner.

Use empty milk jugs and walk back and forth to water tap.
So you're saying, get some distilled water, say 3 gallons, empty the shitty old radiator, fill it with water...run it etc for 10 or so min....drain.....do that again...and then put in prestone...run it etc, drain it....then replace the radiator with the new one?