Ideally you'd flush it with distilled or deionized water only. It's the introduction of hard tap water in cooling systems which causes most of the problems. I take it you are not the original owner, or other people have serviced your car for you, but in any event, although the universal or standard green coolant will work (car won't blow up, blood won't run in the streets) it is the P-HOAT coolants which will work the best. I don't install tap water into my cooling system, and have only used P-HOAT coolant. At 409K miles I have the original water pump, thermostat, radiator, and hoses. Is it the P-HOAT coolant, the distilled water, or both which are to receive credit for the longevity? I'd say probably both, but more attributable to not using tap water.
By the way, P-HOAT coolant comes in these various colors (Red, Pink, Blue, Green) and at least one other funky color depending on the manufacturer. I once was working on my DIL's Mazda and had to replace the t-stat and refill the radiator. I had a limited budget and had not enough red P-HOAT coolant and not enough green P-HOAT coolant. I didn't want to spend any money, so I mixed both. Yep. Nothing chemically wrong with it, since the only difference between the two was the color. Only issue is that it will make it hard to identify by a mechanic or someone else working on the car in the future. The red and green mixed to look like an awful brown color. It looked truly horrible, but was actually clean and chemically correct.