A few things to consider as this is a major purchase you should take your time to really think about how and where you will be using it.
12 volt units are quieter and will be a good option if you have good solar and wind charging capabilities. They will not make as much water as fast but if you can run them for several hours a day a good option. This would be a good pick if you plan to do a lot of sailing and anchoring out.
120 VAC units are a bit noisier but will make more water faster. This is a good option if you have a generator but I am not sure they will work well off an inverter. You would need a good sized inverter and it would drain the batteries quickly. If you have a large battery bank and a high output alternator this could be an option. The 120 VAC motors are more common so repair in far off ports might be easier with a motor issue. Also because they are faster you do not have to spend as much time on the boat monitoring the water maker as it runs, so more time for snorkeling.
A third option you did not mention is a engine drive unit. These can be run off the main engine or generator. This is a good option if you think you will be doing a fair amount of motoring or need to run your engine often for battery charging. Engine drive units can have a high output like the 120 VAC units so do not need to be run as long.
Hope that gives you some to think about. Consider your use and be realistic about how and where you plan to sail. Good luck
Capt. Wayne Canning, AMS
www.projectboatzen.com