While mass outflows from AGN are believed to affect their host galaxy's evolution - enriching their local ISM and potentially IGM with metals from supernova explosions and quenching epochs of star formation - the properties of these outflows are poorly understood. Even the fraction of outflows is not known, since previous studies were based on sources selected for their optical/X-ray brightness. With the Swift Burst Alert Telescope (BAT) AGN survey, we have identified an unbiased sample of 51 nearby (<z> = 0.03) Seyfert 1-1.5s, selected in the 14-195 keV band. In addition to many well-known bright optical/soft X-ray sources, this sample includes lower luminosity Seyferts that were detected as AGN for the first time with Swift. We detail our preliminary results in studying the X-ray (through warm absorber signatures), UV (through absorption features in the broad AGN emission lines), and optical (through our high resolution ground based spectra of the [O III] emission and absorption in the Na ID doublet) signatures of outflows in our unbiased sample.