Egg hatching team

Hey! So as the titel says, I have about 250 eggs in need of hatching but don't want to wait 5 hours every time, as I am sure I won't ever catch up like that! What is the best egg hatching team out there? And for what does it trade? I have almost all pets except the HHH and new elephant, as I am not that far in my egg collection XD

Thanks for the advice!