You could always sturdy it up some if the floors are flexing.

Doesn't seem sturdy enough to me." 

It seems sturdy but I have not really tested it out.

Include the CCR in your lease and have the tenant sign that if fines are incured due to the tenant behavior, the tenant will be in breach of the lease.99% of the time the tenant is doing one of a few things: parking in a red zone, having loud parties, bringing to many guests to the pool, unsightly belongings visible, unsupervised pets, not leashed, defacate in the common area, unsupervised children (that make noise and break stuff), speeding in the deiveway, bringing food, glass, beer or marijuana (legal in CO but not CA) into the pool area, indecent or illegal activities in the common area.I've seen it all.

A dog who immediately starts barking uncontrollably, or desperately pulling at the leash, or running off ignoring both you and the owner is a dog that still needs training and maybe isn't what you want in your home. 

Neighbor A's dogs are never leashed and neighbor b's dogs are always leashed.

I include a link to the city's animal ordinance and have updated my lease to include a place for them to initial and acknowledge those specific requirements (which include micro-chipping, leash laws, etc.) 

Some initial thoughts: I look at the way the dog reacts on leash.

In my town, for example, all dogs/cats must be on a leash when outside the premises, must be microchipped, licensed, and have proof of vacinnations. 

About liability I will remove non-sturdy items and tippy chairs but best advice is to be a minimalist this also controls costs.