As this deck is not one of the top and the graydle combo consumed only half of the deck, the other half is focused on keeping yourself alive by denying attacks and monster effects for good.
You can use Book of Moon to unequip a graydle monster without losing the enemy monster, in case you need the S/T place or the monster in the GY.
If your Lose 1 Turn is on the field, you must fous on monster stealing only.
If your Skill Drain is on the field, don't use your tuners unless you are really sure its worth it. Combo a Graydle Dragon Synchro Summon with Skill Drain/Lose 1 Turn and Book of Moon for surprise 2-3 card destruction.
Cardcar D is for emergency or bad first hand only. Don't use it if you can do anything.
Thats all. Really simple strategy. Keep your opponent down.