Continuity mistake: When Lucy buys back her coffee table, Ethel and Fred move it to the kitchen in the Mertz's apartment. The door to the Mertz's kitchen (with its doorknob on the right) in this episode opens the opposite way, inward towards the inside of the kitchen, and not outward in the direction of the living room, as seen in all previous and following episodes, including the very next episode. (00:17:55)
Suggested correction: The kitchen is a double hinged "saloon style" door. The door opens both ways, just like in a restaurant and most kitchens of the era. This is evident in many episodes.
You're confused. Rewatch the episode, please. Your correction is describing the Ricardo apartment; it's Ricky and Lucy who have the kitchen with that swinging door, which you describe as "double hinged saloon style" that opens both ways. This mistake is actually referring to the Mertz's apartment, and their door leading to their own kitchen is a standard door with a doorknob and it always opens only one way - outward into the living room. It's only in this specific episode the Mertz's kitchen door is attached to the door jamb differently, and it opens inward into the kitchen. The mistake is absolutely valid.
Continuity mistake: In the episodes where Lucy and Ricky are Getting Ready to move to the country, there are shots in the Ricardos' bedroom that shows a wall on the right hand side of the room. In previous episodes, there was a window where the wall appears during the later 'moving to Connecticut' episodes.