Mulligans
General Mulligans
Get a ton of armor and draw all your taunts to turn your gain 4 health hero power into deal 8 damage.
Aggro Mulligans
If you've got Grizzly, then Fire Plume's Heart is okay to keep, but might not be your turn 1. Instead you might Iron Hide. Grizzly is excellent against aggro.
Control Mulligans
Get all your taunts and armor up. Grizzly is bad against control, so throw it away.
Use your 4 armor hero power over and over to control the game while piling taunt on taunt. Complete the quest and use automaton and pixie to buff your DIE, INSECT hero power.