We report new detections and limits from a NOEMA and ALMA CO(1-0) search for molecular outflows in 13 local galaxies with high far-infrared surface brightness, and combine these with local universe CO outflow results from the literature. CO line ratios and spatial outflow structure of our targets provide some constraints on the conversion steps from observables to physical quantities such as molecular mass outflow rates. Where available, ratios between outflow emission in higher J CO transitions and in CO(1-0) typically are consistent with excitation R i1 1. For IRAS 13120-5453, however, R 31 = 2.10 ± 0.29 indicates optically thin CO in the outflow. Like much of the outflow literature, we use α CO(1−0) = 0.8, and we present arguments for using C=1 in deriving molecular mass outflow ratesṀ out = C Moutvout Rout . We compare the two main methods for molecular outflow detection: CO mm interferometry and Herschel OH-based spectroscopic outflow searches. For 26 sources studied with both methods, we find an 80% agreement in detecting v out 150 km s −1 outflows, and non-matches can be plausibly ascribed to outflow geometry and signal-to-noise ratio. For the González-Alfonso et al. (2017) sample of 12 bright ultraluminous infrared galaxies (ULIRGs) with detailed OH-based outflow modeling, CO outflows are detected in all but one. Outflow masses, velocities, and sizes for these 11 sources agree well between the two methods, and modest remaining differences may relate to the different but overlapping regions sampled by CO emission and OH absorption. Outflow properties correlate better with active galactic nucleus (AGN) luminosity and with bolometric luminosity than with far-infrared surface brightness. The most massive outflows are found for systems with current AGN activity, but significant outflows in non-AGN systems must relate to star formation or to AGN activity in the recent past. We report scaling relations for the increase of outflow mass, rate, momentum rate, and kinetic power with bolometric luminosity. Short ∼ 10 6 yr flow times and some sources with resolved multiple outflow episodes support a role of intermittent driving, likely by AGN.