Guided by theoretical predictions, the rotational spectra of the mono- and bideuterated species of trans-1-chloro-2-fluoroethylene, CH35Cl=CDF, CH37Cl=CDF, CD35Cl=CHF, CD37Cl=CHF, CD35Cl=CDF, and CD37Cl=CDF, have been recorded for the first time. Assignment of the Delta J = 0 and Delta K(-1) = +1 bands with K(-1) = 3,4,5,... (all isotopic species) as well as of several Delta J = +/-1 and Delta K(-1) = +1 transitions (all isotopic species except CH37Cl=CDF, CD37Cl=CHF, and CD37Cl=CDF) led to the accurate determination of the ground-state rotational constants, the quartic, and some sextic centrifugal distortion constants, as well as the nuclear quadrupole coupling constants for both 35Cl and 37Cl in good agreement with corresponding theoretical predictions based on high-level coupled-cluster calculations. Inconsistencies of the present spectroscopic parameters with respect to those reported earlier for the two main isotopologues, i.e., CH35Cl=CHF and CH37Cl=CHF, necessitated a reinvestigation of the rotational spectra for these two isotopic species. Supported by quantum chemical calculations, the previously recorded spectra are reassigned to a vibrationally excited state, while analysis of the Delta J = 0 and Delta K(-1) = +1 as well as some Delta J = +/-1 and Delta K(-1) = +1 transitions provided a revised set of spectroscopic parameters for the vibrational ground state of these two isotopic species.