We had our bathrooms renoed this summer...and fall. I knew the wall between the bathrooms had mold on it as I cut a piece of draywall out to have a look. The reno company said if they did it they had to follow all the health procedures and had to alert the dump they were coming with it - full hazmat deal. They said if I did it, there was no restrictions. They recommended taking it out in as large pieces as possible, keep the dust down, and wear a good mask. They also recommended a hepa filter for the shopvac. It wasn't a big deal to get out following most of those rules.
As a landlord though I'm sure you'll have more rules to follow.
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