High-statistics cross sections and recoil polarizations for the reactions $\ensuremath{\gamma}+p\ensuremath{\rightarrow}{K}^{+}+\ensuremath{\Lambda}$ and $\ensuremath{\gamma}+p\ensuremath{\rightarrow}{K}^{+}+{\ensuremath{\Sigma}}^{0}$ have been measured at CLAS for center-of-mass energies between 1....