  We consider a broad family of higher-derivative extensions of
four-dimensional Einstein gravity and study the multipole moments of rotating
black holes therein. We carefully show that the various definitions of
multipoles carry over from general relativity, and compute these multipoles for
higher-derivative Kerr using the ACMC expansion formalism. We obtain the mass
$M_{n}$ and current $S_{n}$ multipoles as a series expansions in the
dimensionless spin; in some cases we are able to resum these series into
closed-form expressions. Moreover, we observe the existence of intriguing
relations between the corrections to the parity-odd multipoles $S_{2n}\neq 0$
and $M_{2n+1}\neq 0$ that break equatorial symmetry, and the parity-preserving
corrections that only modify $S_{2n+1}$ and $M_{2n}$. Further, we comment on
the higher-derivative corrections to multipole ratios for Kerr, and we discuss
the phenomenological implications of the corrections to the multipole moments
for current and future gravitational wave experiments.

General Relativity and Quantum Cosmology;High Energy Physics - Theory