Look in the closets and open the cabinets. You should also ask the landlord or current tenants how bad the problem is. Many landlords will pay for exterminators, so ask about this too. During wet seasons, it is not uncommon to be six inches deep in water after just an hour of rain. This takes a heavy toll on the homes, many of which are more than 100 years old.
Water damage can crumble walls and ceilings and can create potentially dangerous living conditions.
Typical water damage signs are discoloration, cracking paint and corners that look crumbled. You're not entering a war zone, but it's not Disneyland either. You need to be aware of your surroundings at all times. The nearest New Orleans Police Station may be able to offer advice on living conditions, or you could try contacting the local neighborhood watch group. If you live in the French Quarter, for instance, you may find the only empty parking spot to be 10 blocks away.