I notice under Control> My Mossms that there is an area for Skills. When will these be introduced and how will that impact resources and/or individual pet value?

Skills and stats will come into play with our first expansion which is not fully designed yet so its difficult to answer this question with complete authority.

The best answer right now is that both of these things (stats and skills) will be required for additional game-play like the crocodile wrestling and other fun things that like that.