Here's what I've got so far:
-3 Darksea Recuse (you don't need both this and Tuningware)
-1 Speed Warrior (useless)
-1 Junk Synchron (3 is a bit much)
-2 Synchron Explorer (Why?)
-1 Inferno Reckless Summon ( Not as useful as Machine Dupe)
-2 Hand Destruction (With my fixes you shouldn't need this)
-1 Card Destruction (See Hand Destruction)
-2 Urgent Tuning (There are better traps)
-2 Synchro Strike (See Urgent Tuning)
-1 Foolish Burial (you shouldn't need it with all the draw you have)
+3 Cyber Valley (Draw/Machine Dupe target)
+1 Plaguespreader Zombie (The best Tuner in the game)
+1 Blackwing - Gale the Whirlwind (Tuner, built in Shrink effect)
+2 Quillbolt Hedgehog (Special Summonable/decent with the amount of tuners you have.)
+2 Mystical Space Typhoon (You need the Spell/Trap Removal)
+1 Machine Duplication (A third helps you draw it easier)
+1 Mirror Force (Staple)
+1 Torrential Tribute (Staple)
+2 Bottomless Trap Hole (Staple)
+1 Trap Stun (Protects you from stuff like Bottomless for a turn)
+1 Solemn Judgment (Can save you from a lot of stuff)