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Recently, it was shown that type D black holes, encompassed in the largePleban\'ski--Demia\'nski (PD) family, exhibit a wide class of algebraicallygeneral generalizations via the application of Ehlers and Harrisontransformations. In this work, we first discuss some mathematical detailsbehind the composition of such transformations, and next, we introduce aqualitative picture of the most general type I generalization of the PD family,dubbed ``Enhanced Pleban\'ski--Demia\'nski'' spacetime. We provide the exactform of the solution in the original PD coordinates, obtained via thesimultaneous action of an Ehlers and a Harrison transformation on the vacuum PDgeometry. In order to make the physics more transparent, we explicitlyconstruct a rotating and accelerating black hole which further has NUTparameter and electric charges, both of them entering, not only the eventhorizon, but the Rindler horizon as well. This solution is directly obtained inthe ``physical'' coordinates recently proposed by Podolsk\'y and Vr\'atny.Finally, a pedagogical appendix is thoughtfully included, providing readerswith a user-friendly step-by-step guide to the Ernst formalism, in an attemptto address and resolve various minor inconsistencies frequently appearing inthe relevant literature.

Pleban\'ski-Demia\'nski \`a la Ehlers-Harrison: Exact Rotating and Accelerating Type I Black Holes