Fast, Easy & Affordable Bail Bonds Services in Bridgeport, CT. The Connecticut Bail Bonds Group provides professional, swift, and affordable bail bond service to the Bridgeport, CT area. Our bonding agents offer 24 hour bail bonds, 7 days a week, year round, rain or shine. Whether you’re bailing someone out of jail, or you’re in a jailhouse, courthouse or correctional facility yourself, our bondsmen are here for you.