6 people, hmmmmm.

Well, when you mention about the egg, do we dictate Egg Group (human-like, field, flying, etc.) or Type (poison, electric, ground, etc.). If the latter, will we receive a full-type Pokemon (say I pick Ground, would I only end up with Sandshrew, Diglett, Cubone, Phanpy, Trapinch, Hippopotas, or Drilbur?), full-type and primary (which is the previous list plus things like Rhyhorn, Gligar, and Stunfisk), or any Pokemon with that type at all (so all the above + things like Nincada and Gible and Numel)? Would just help to determine the likelihood of getting the Pokemon you want.