Welcome to RC and the Zoanthid forum Enigma445.
Zoanthid are extremely hardy non skeletal, non calcifying soft bodied corals which unfold like a rose in the morning. Often referred to say Sea mats, Colonial polyps, button polyps, zoas, colonial anemones, they are as vast in colors as the regions of which they are collected and very easy to keep. They will proliferate rapidly in a mature somewhat stable environment with adequate lighting and current via powerheads, wavemakers etc.
Much debate lingers on whether or not to externally feed them. Some authors have said lighting and current alone is not enough to sustain them. I kept them for many years with explosive growth without external additions of food. Before you drop a single dime on a purchase, I would highly recommend that you read everything in the link below. It will afford you an adequate background to familiarize yourself with the vast amount or resourceful knowledge from those who have kept zoanthids for many years. I would learn the jargon and read, read and read as much as possible. Consider this your home and don't be afraid to ask questions my friend.
http://www.reefcentral.com/forums/showthread.php?s=&threadid=632970
"What are some of your favorite kinds?"
Everyone has their favorites, but that list will be as long as your arm, and it will only prevent you from finding your own favorites. Be as individual as humanly possible in creating your own Biotope. Remember these words, buy what YOU like and not what everyone else has. You will only reproduce a tank that looks like every one else's tank and not that of your own. I would get your entire family evolved, you'll be amaze at how close a family will become as a result of coming together to make this a family project and hobby.
The easiest zoanthids that I suggest you purchase first, are the most colorful and the cheapest. Don't buy anything by the polyp which has become the norm of late. Talk with your LFS, (local fish store) and purchase an inexpensive colony of neon greens, reds, oranges etc, just to acclimate yourself to keeping zoas. I see that your system is only a month old. For this reason alone, I wouldn't consider any expensive coral purchases until your system has matured. I am a great believer in "New Tank Syndrome". A system that has little or no colonizing bacteria, fluctuating parameters, an unstable sand bed, a water column which needs to mature etc. Where do you live? If you are near Michigan, I can give you some things for free to get you started. Drop me a PM
Trust me, the biggest mistake you will make is to rush out and feel the need to compete with everyone else's beautiful tank. Set goals, practice good husbandry and keep a log of everything you do. Good test kits are also advised. Take your time, read, research and ask questions and get opinions. Make sure you read the Reefkeeping magazine articles each month. Reefkeeping is not an exact science and you are going to get a whole host of replies as we all place our own spin on what is best for our systems.
I know I went overboard, but I just spoke with a reefer this week who tried to create a masterpiece in 2 months and the devastation he suffered has turned him away from the hobby already.
I just woke up and typed off the top of my head, I know I missed something and that is where the great reefers we have in this forum will add tons more of great ideas, suggestion and feedback.
Good Luck Enigma445
Mucho