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We provide uniform RR Lyrae-based distances to 39 dwarf galaxies in andaround the Local Group. We determine distances based on a Bayesian hierarchicalmodel that uses periods and magnitudes of published RR Lyrae in dwarf galaxiesand is anchored to well-studied Milky Way (MW) RR Lyrae with spectroscopicmetallicities and Gaia eDR3 parallaxes. Gaia eDR3 parallaxes for the anchorsample are a factor of 2, on average, more precise than DR2 parallaxes, andallow for a much better constrained period-luminosity-metallicity relation.While $\sim75$% of our distances are within 1-$\sigma$ of recent literature RRLyrae distances, our distances are also $\sim2$-$3$ times more precise thanliterature distances, on average. On average, our distances are $\sim0.05$ magcloser than literature distances, as well as $\sim0.06$ mag closer thandistances derived using a theoretical period-luminosity-metallicity relation.These discrepancies are largely due to our eDR3 parallax anchor. We show thatthe Hipparcos-anchored RR Lyrae distance scale of Carretta et al. (2000)over-predicts distances to MW RR Lyrae by $\sim0.05$ mag. The largestuncertainties in our distances are (i) the lack of direct metallicitymeasurements for RR Lyrae and (ii) the heterogeneity of published RR Lyraephotometry. We provide simple formulae to place new dwarf galaxies with RRLyrae on a common distance scale with this work. We provide public code thatcan easily incorporate additional galaxies and data from future surveys,providing a versatile framework for cartography of the local Universe with RRLyrae.

RR Lyrae-based Distances for 39 Nearby Dwarf Galaxies Calibrated to Gaia eDR3