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Well if you really want to avoid the hassle then you're better off letting them go. However, be aware that denying someone based on national origin can get you into a lot of trouble so I'd avoid doing that. And elderly people do have a lot of rights that can get you in just as much trouble. So stray off of those reasons.
On all of my leases I use an indemnification clause. It's not bullet proof but then again with these things nothing really is. But it would take something really bad for this to not be an effective way to protect yourself. A good example would be if there's a fire and you were aware of bad wiring that caused it and did nothing about. But otherwise this should work for your lease as well.