This contribution briefly illustrates preliminary calculations of the electromagnetic form factors of $^3$He and $^3$H, obtained within the Light-front Relativistic Hamiltonian Dynamics, adopting i) a Poincare covariant current operator, without dynamical two-body currents, and ii) realistic nuclear bound states with $S$, $P$ and $D$ waves. The kinematical region of few $(GeV/c)^2$, relevant for forthcoming TJLAB experiments, has been investigated, obtaining possible signatures of relativistic effects for $Q^2>2.5 ~(GeV/c)^2$.