I’m not really a Lightsworn expert, but the main themed cards you’d probably want to have in the deck are:

Judgement Dragon
Light/Dragon
Level 8
ATK 3000/DEF 2600
This card cannot be Normal Summoned or Set. This card cannot be Special Summoned except by having 4 or more "Lightsworn" monsters with different names in your Graveyard. You can pay 1000 Life Points to destroy all other cards on the field. During each of your End Phases, send the top 4 cards of your Deck to the Graveyard.

Honest
Light/Fairy
Level 4
ATK 1100/DEF 1900
In your main phase, you can return this card from the field to its owner’s hand. During the damage step of either player’s turn, when one of your face-up Light monsters battles, you may send this card from your hand to your graveyard to have your battling monster gain ATK equal to the ATK of the monster it is battling. This ATK bonus lasts until the end phase.

Glorious Illusion

Continuous Trap
Select a "Lightsworn" monster in your graveyard and special summon it in attack. In each of your end phases, send the top two cards of your deck to your graveyard. When Glorious Illusion is removed from the field, destroy that monster. When the monster is removed from the field, destroy Glorious Illusion.

Garoth, Lightsworn Warrior

Level 4
Light/Warrior
1850/1300
Each time a card or cards are sent from your deck to the graveyard by the effect of one of your "Lightsworn" monsters (except "Garoth, Lightsworn Warrior") send the top two cards of your deck to your graveyard. Then, draw a card for each "Lightsworn" monster sent to the graveyard by this effect.

Wulf, Lightsworn Beast

Beast-Warrior / Light
Level 4
2100 / 300
This card can’t be normal summoned or set. When Wulf is sent from your deck to your graveyard, special summon it.

Lumina, Lightsworn Summoner

Spellcaster / Light
Level 3
1000 / 1000
Once each turn, you can discard a card to special summon a Level 4 or lower "Lightsworn" monster from your graveyard. In each of your end phases, send the top three cards from your deck to your graveyard.

Ryko, Lightsworn Hunter

Level 2
Light / Beast
200/100
Flip Effect: You can destroy a card on the field. Send three cards from the top of your deck to the graveyard.

Solar Exchange

Normal Spell
Discard a "Lightsworn" monster. Draw two cards, then two cards from the top of your deck to the graveyard.

In answer to how to stop yourself decking out while playing Lightsworn, I suppose you could run a few copies of the now unlimited Pot of Avarice. Hope this helped.

Aussie

Oliver you might wanna add a Foolish Burial for the Wulf's SJ King uses one for his Wulf and it works fine