  We construct new large classes of BPS Wilson hyperloops in three-dimensional
${\cal N}=4$ quiver Chern-Simons-matter theory on $S^3$. The main strategy is
to start with the 1/2 BPS Wilson loop of this theory, choose any linear
combination of the supercharges it preserves, and look for deformations built
out of the matter fields that still preserve that supercharge. This is a
powerful generalization of a recently developed approach based on deformations
of 1/4 and 1/8 BPS bosonic loops, which itself was far more effective at
discovering new operators than older methods relying on complicated ansatze. We
discover many new moduli spaces of BPS hyperloops preserving varied numbers of
supersymmetries and varied subsets of the symmetries of the 1/2 BPS operator.
In particular, we find new bosonic operators preserving 2 or 3 supercharges as
well as new families of loops that do not share supercharges with any bosonic
loops, including subclasses of both 1/8 and 1/4 BPS loops that are conformal.
