Did Laverne and Shirley ever consider living together?

Laverne and Shirley did consider living together at various points throughout the show. In the episode "Moving," Laverne and Shirley are forced to move out of their apartment when the landlord sells it. As they try to find a new place to live, they consider various options, including living together. However, they ultimately decide to stay in separate places.

In another episode, "Laverne and Shirley Move In," Laverne and Shirley consider moving in together to save money. When they realize they can't find a place that meets both of their needs, they decide to get an apartment together. Unfortunately, they are unable to find an apartment and end up staying in separate places.

In a later episode, "The Roommate," Laverne and Shirley once again consider living together. This time, they agree to become roommates in an effort to save money. However, they soon realize that living together comes with its own set of challenges, and they ultimately decide to stay in separate places once again.