Well, it depends upon your location. If you are in an area that gets continuous below freezing, then yeah, you need antifreeze. However, if your area doesn't get below freezing for a sustained time, you can probably get away with just draining and "blowing" out the lines.
Just draining, will leave water in many places and if they freeze up, they can break lines, valves, etc. Best to hook up a compressor to the water inlet and put about 40#s of pressure in the lines and go around and open each and every valve, faucet, shower, water heater, etc until nothing but air comes out.
Then if you still feel you need antifreeze, what you mentioned above will work. Make sure you put antifreeze in all the sink P-traps and even some in the toilet bowl and both the black and gray tanks.
good luck
Ron