Establishing TRUST with a new property manager!!!

[Brandon Parkes]

I'm a Canadian citizen, living in Canada and for the past 7 years have purchased and self managed my sfh rental properties around the Greater Toronto area.

As I am sure you know, the house prices here are ridiculous and as a result, I incorporated in the US in 2018 and purchased a turnkey Duplex to start hopefully a series of great relationships in the US.

Being that everything is very different in Canada and the US, and always having self managed in the past, both everything US and trusting a property manager are all new to me. 

The property manager that I am signing up with needs bank info from me to be able to deposit net monies each month. She's requested my account and routing numbers, which from what I understand is all they need. Apparently it also gives them full access to withdraw funds as they like.
What's to stop them from just emptying your account? Anything I should be weary of, or any additional due diligence I can do?

Thanks everyone!!!
Brandon