I would suggest that you go to a autoparts store, or the autoparts section of Walmart and get a cheap antifreeze tester. You can get a simple glass tube type with the floating balls for a dollar, this is all you need for this.
Draw a sample of coolant from your radiator or overflow reservoir. If the sample is a clear color, like red, yellow, pink or green, you do not need a flush. I fact nothing is urgent at this time but you should change your coolant as soon as convenient.
If it is cloudy, you should have the coolant changed ASAP, but it does not need to be flushed, a drain and fill is all you need.
If it is muddy and brownish, then you need to have it flushed ASAP. I would not allow any chemicals to be used, It should be done @Tester’s way.
Unless it is muddy and you are having overheating issues. If things are bad enough, it may take some chemicals to get things flowing again, but I would have the radiator removed and cleaned in an external chemical bath so that the chemicals do not attack other parts of the engine or cooling system components.