You asked about manufacturers of DSP systems. Peavey, TOA, Shure and Biamp are manufacturers I can think of at the moment. These systems are programmed by the contractor, so they are a little hard to research. At the end, the contractor will supply what they sell and what they know how to program.
I would avoid use of any boundary or any other kind of mic that would put more than 2" between the presenter's lips and the mic element. I work with the children's ministry at our church, and we found that the
Samson 77 aerobics headset mic is a reliable, economic solution for a "young" environment, and guarantee strong gain-before-feedback. Its durable, has the transmitter on the headset, and relatively inexpensive. At these prices, you can afford to overdesign and spec 6 headset systems and a couple handheld mics.
You are on the right path by thinking about automatic mic mixers. DSP systems have this circuitry as a drag-and-drop option in the setup software.