Wait for turn 5 if possible with Jufi, Sprite Seer to take advantage of the intrigue bonus.
Keep an eye on your mana pool to optimize use of the muster ability of Sodi the Metamorph to replenish your power. Elysian Blueprints works especially well as it can be used as a spell and attachment for 1 power cost. As a side option on turn 5 (**turn 6 now with transpose update), you could use Transpose to grab Replication Cell from your market and make a copy of Sodi (or whatever unit you want) on the same turn.
The ShiftstonedEternal Power Calculator is a deck-building tool that visualizes your odds of drawing enough Influence and Power based specifically on the cards found in your deck.