Searches for new physics increasingly focus on light, weakly interacting long-lived particles (LLPs), where highly displaced signatures challenge general-purpose detectors. Dedicated LLP experiments are therefore essential, but their impact depends critically on optimised geometry and placement. The Future Circular Collider (FCC) offers a unique opportunity to design such detectors from the outset. We first explore a shielding-based detector concept, DELIGHT-SHIELD, at a dedicated interaction point for FCC-hh, with alternative options for a staged implementation. We next discuss two complementary dedicated detector concepts: DELIGHT, a transverse detector with a shared design for both FCC-ee and FCC-hh runs, and FOREHUNT, a forward detector targeting boosted LLP signatures in the forward direction. We present sensitivity projections and discuss key background sources and their mitigation in order to assess the feasibility of these designs for improving the coverage of previously unexplored LLP parameter space.