Let's Make Robots!

Best...Arduino products help?

Hey everyone I'm new and everything but wanted to know:

What Arduino board thing (Nano, Mega, etc) should I use as a beginner. Before I get answers, I need to specify my question with another inquiry: HOW would I get this project on the road? My project plan is to make a swarm of robots that follow instructions given by the "QUEEN" of such, which is simply a moving computer. Would there be a way for my robots to wirelessly get instructions from the queen? And if so, does this affect what Arduino product I go with. I await your answers.