My two year at the time old grab the edge to help stand up from the seated position on the floor and the glass stop slid off and almost caused severe harm. 

The new Landlord wants to know if she had an animal and if it caused any damage or other problems.

We have allowed tenants to resolve past due debts or provide letters from previous apartment complexes confirming that damages or unpaid rent were not their responsibility.

If you're worried about the tenant damaging the unit, you can work out a deal with a landlord/tenant judge where they can pay what they can and leave immediately.

They usually have a process for filing a claim with the city for damage caused by them, and they may be willing to cover it.

Other lease provisions may apply as well, such as prohibition against causing the LL to incur fines and damages.

It snapped off vertically down the middle when he went to the kitchen in the dark in the middle of the night and when he turned to walk back, he walked into a little cupboard door which pushed it back against an edge of the wall, which caused the wood to snap.

When he came to me, she was three months behind on rent, and her unauthorized dogs, cats, and roommates had caused about $4000 in damages.

Then things went south...I decided to gut the rest of the basement since it got water damaged from the foundation issue.

You could also add a clause about your ability to terminate the lease if they cause problems in the neighborhood, don't cut the grass, etc.