That is great that they are resigning, Keike!! You must be so relieved, and I'm so glad you have had a bit of good news this week.

Just wondering though if you had a clause in your original agreement about the conditions of a periodic tenancy? If not, then they would move onto a period tenancy which is usually on a monthly basis, not weekly, and would need to give you a minimum 21 days to notice they were leaving (without cause), you would need to give them 60 day notice to vacate (without cause).