The show was a vehicle to bring the duo's tried and true burlesque routines to television in a format that the team could control. It contained none of the musical interludes or love stories that marked most of their feature films. Basically, if a situation or gag was funny, the team filmed it with little regard to plot, character or continuity. As a result, the show became a record of classic burlesque scenes performed by the duo.
Abbott and Costello portrayed unemployed actors sharing an apartment in a rooming house in Hollywood. The supporting cast included Sidney Fields as their landlord; Hillary Brooke as a neighbor and sometime love interest; Gordon Jones as Mike the Cop, a dimwitted foil for the boys; Joe Besser as Stinky, a 40-year-old man dressed in a Little Lord Fauntleroy suit; and Joe Kirk (Costello's brother-in-law) as Mr. Bacciagalupe, an Italian immigrant caricature who held a variety of jobs depending upon the requirements of the script. Bobby Barber and Joan Shawlee also appeared frequently. Several episodes featured a pet female chimp named "Bingo", who was dressed exactly the same as Costello. Bingo was fired from the show after biting Costello. Brooke, Besser, and Kirk also left the cast after the first season..(synopsis from Wikipedia)