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No pay by the month with TS tho :/
This is incorrect. This is from their website. They also have insurance for those that self manage now (just started).
My tenant is on a periodic lease. Am I still covered?
Yes. We will cover you for the rent loss or damage the tenant is legally liable for. For example, we would consider rent arrears to vacate date plus the notice period they should have given as per the Residential Tenancies Act.