At very minimum you should have string leaches/silencers, dampeners on both limbs, and a vibration reducing stabilizer. I don't think it would quite be your Grandma's screen door without them, but it isn't good. :-)

I have em all. I like Doinker stabilizers as I feel the Doinkers ( with Navcom) absorb shock and hand torque better than most brands and are not too expensive. I have the 6 inch mini doinker and it works great and catches less brush/limbs than the bigger models. I do everything I can to my my already quiet bow as quiet as possible. I added the Alpine quiver as it too has the sound muffling Navcom at most contact points, so it too acts as an additional stabilizer if I shoot while it is on. Mathews will soon make Monkey Tails (Navcom) sting silencers availble, these are easy to put on and even though they wont last 1000 shots they will make your bow quieter. Do every thing you can to make your bow quiet and stable, you'll appreciate all this when that moster buck steps out!

Hunting stabilizers add a bit more weight which allows you to hold the bow steadier - gives your muscles some resistance to work against. They also change the balance of the bow and absorb vibrations that you can hear and feel.

Take your bow to a good archery shop - they might let you try stabilizers before you buy. You will likely find one or two that work better than others.

For hunting I like short stabilizers that don't have to be removed when the bow is cased. These also don't catch on as much stuff when hunting.

My new Mathews Z-7 came with string leeches, monkey tails, harmonic stabilizer, etc, etc and is the most silent bow I have ever shot. Looked at many accessory stabilizers and settled on the new bone collector because it is short, inexpensive, works great and has adjustable weight. You can add or remove the weights so the the bow balances in your hand. Best bow I have ever held and there have been many.