The influence of both compressive and tensile epitaxial strain along with the electrical boundary conditions on the ferroelastic and ferroelectric domain patterns of bismuth ferrite films was studied. BiFeO${}_{3}$ films were grown on SrTiO${}_{3}$(001), DyScO${}_{3}$(110), GdScO${}_{3}$(110), and SmScO${}_{3}$(110) substrates to investigate the effect of room temperature in-plane strain ranging from $\ensuremath{-}1.4$% to $+0.75$%. Piezoresponse force microscopy, transmission electron microscopy, x-ray diffraction measurements, and ferroelectric polarization measurements were performed to study the properties of the films. We show that BiFeO${}_{3}$ films with and without SrRuO${}_{3}$ bottom electrode have different growth mechanisms and that in both cases reduction of the domain variants is possible. Without SrRuO${}_{3}$, stripe domains with reduced variants are formed on all rare earth scandate substrates because of their monoclinic symmetry. In addition, tensile strained films exhibit a rotation of the unit cell with increasing film thickness. On the other side, the presence of SrRuO${}_{3}$ promotes step flow growth of BiFeO${}_{3}$. In case of vicinal SrTiO${}_{3}$ and DyScO${}_{3}$ substrates with high quality SrRuO${}_{3}$ bottom electrode and a low miscut angle of $\ensuremath{\approx}$${0.15}^{\ensuremath{\circ}}$ we observed suppression of the formation of certain domain variants. The quite large in-plane misfit of SrRuO${}_{3}$ with GdScO${}_{3}$ and SmScO${}_{3}$ prevents the growth of high quality SrRuO${}_{3}$ films and subsequent domain variants reduction in BiFeO${}_{3}$ on these substrates, when SrRuO${}_{3}$ is used as a bottom electrode.