Legal to require proper care of any pets?

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Hello,

I'm trying to learn as much as possible before becoming an investor. Right now I'm learning about renting to people with pets. I feel very strongly about proper animal care. Is it legal to require, for example, no fish tanks smaller than 5 gallons? (If it's just plants or snails that would be fine, but there's not really fish that thrive in under 5g.) Nothing crazier than that.

That is my only example of what I might require at the moment.