Uneven floor - best way to prevent falls?

[Account Closed]

I recently bought a short sale rental house that has some rooms with the floor 1-3 inches higher.  For example, the kitchen floor is 3 inches higher than the floor of the living room.  The living room and kitchen are right next to each other, with no wall or door separation.

What do you think is the best way to prevent people from tripping and falling?  I am afraid that a tenant or guest, especially when sleepy or drunk, might trip and fall from the difference in floor height, and sue me.  I was thinking of installing a door saddle/threshold, but a wooden saddle might be slippery enough to make someone trip.  I'm thinking perhaps a rubber saddle if I can find one?  What do people think?  I'm rather paranoid about getting sued after having to evict a nightmare tenant on another property with nothing wrong with it who refused to pay rent, refused to move out, constantly insulted and harassed me, and frequently threatened to sue me for millions I believe for injuries he sustained when he was drunk and stumbled.