A system and method for installing a tubular in a wellbore, of which the method includes coupling a fluid connector tool to a lifting assembly, coupling a casing fill-up and circulation seal assembly to the fluid connector tool, and coupling two segments of casing together to form a casing string. At least one of the segments of casing is fluidically coupled to the casing fill-up and circulation seal assembly. The method also includes running the casing string into a wellbore, pumping a first fluid from the lifting assembly, through the fluid connector tool and the casing fill-up and circulation seal assembly, and into the casing string as the casing string is run into the wellbore, de-coupling the casing fill-up and circulation seal assembly from the fluid connector tool, and coupling a drill-pipe seal assembly to the fluid connector tool.