Use spells and traps to keep your monsters alive and continue controlling the field. Use Enemy Controller and Windstorm of Etaqua to change enemy's battle positions when they attack. Using Mirror Wall will defend your monsters while also destroying the attacking monster.
Decreasing your life points by 1500 will allow you to activate the Sleight of Hand. Use Autonomous Action Unit to decrease your life points by 1500 while also special summoning a monster from your opponent's grave, or you could also use the effect of Amazoness Chain Master to decrease your life points while also taking a card from your opponent's hand.