I see a lot of people posting stuff about Thukker Tribe but they all left out the most important aspect about them… Thukker Tribe only has positive standings with Minmatar Republic and negative standings with most of the other Factions…
That means if you gain Faction standing with Thukker Tribe from Storyline or Cosmos Agents (Yes, Thukker Tribe has 7 different Cosmos Agents), you will then incur negative standing hits with most of the other Factions (except Minmatar Republic) which could adversely affect your ability to travel throughout most of High Sec space.
Now you can bypass that situation just by declining all Storyline mission offers and only do regular missions for Thukker Mix Corp or Trust Partners Corp to collect LP’s.
As for what items to get from the LP Store, you should first check the Market for what sells the best. Years ago back when I was running missions for Thukker Mix in Derelik Region, Thukker Shield Extenders were a good selling high priced item in the Market.
Lastly, you can repair negative standings easily and quickly without paying somebody else to do it, check out ‘The Plan’ for more info on how to do that.