A lateral applicator kit for a pipe has a first and a second application unit that are configured to apply a primer material or other substance to the exterior and interior lateral walls of a pipe. The first unit receives primer through a first supply engagement feature, which is in fluid communication with a first material reservoir internal to the first application unit and further in fluid communication with an application receptacle configured to receive, and apply primer to, the exterior lateral surface of a pipe. The application receptacle has at least one first material applicator connected across at least one first application opening through which primer is absorbed and distributed to the pipe. The application receptacle has a tapered, flexible applicator wall for adaptably accommodating a range of pipe diameters. The second unit is similarly but inversely configured to adaptably apply primer to the interior surface of a fitting.