Tenant doesn't want prospective tenants in the house

[Joseph Rios]

My tenant said he doesn't feel comfortable having prospective tenants in the house and asked to wait until they move out before showing the house. It's 3/20 today and they're supposed to move out on 3/31 (lease ends). However they keep telling me they are looking for a new place and cannot find one, and that "we're not going to live in the street." This tells me that they might not be moving out on the 31st. They still owe almost half of this months rent and they are consistently late. They've also brought a dog when the contract specifically said no pets although I agreed to it since they promised they would be up to date with the rent (their daughter moved in with her dog and said she would help). My question is, what should I do now? I don't want to have my unit vacant for 1 month, my contract states that I should give them 24hrs before showing but it doesn't state whether they can refuse or not. Also is it better to file an eviction if they don't leave on the 31st or should I change to month to month. I really want them out.... Thank you BP community!