What kind of deck should be used to beat the four Signer copies of yourself in Yu-Gi-Oh 5Ds Stardust Accelerator

One option include using a Lightsworn deck. Here's a basic deck recipe but you can do what ever you want with what ever cards you have:
2 Judgment Dragon
1 Lyla - Lightsworn Sorceress
3 Lumina - Lightsworn Summoner
2 Wulf - Lightsworn Beast
2 Golden Ladybug
3 Jain - Lightsworn Paladin
3 Solar Recharge
1 Bottomless Trap Hole
1 Swords of Reveling Light
1 Royal Oppression
2 Light Spiral
and the other Lightsworns

All Lightsworn cards are in the booster pack Light of Destruction except "Swords of Reveling Light" and "Bottomless Trap Hole".
You can also build a deck that focuses on recovering Life Points but note that you can only carry over a max of (I believe) 12000 Life Points.
If these don't work you can study YouTube videos that show decks that do work.