There are also enamel paint kits at Home Depot to help tackle chips on the sink.

Stained ceilings are often a tell-tale sign of leakageThe interior walls of the property must not have chipped or peeling paintPlumbing and Sanitation The property must have a fixed water basin, flushing toilet and shower/bath tubThere must be no plumbing or water leaksThere has to be hot and cold running water in both the kitchen and bathroom The bathroom must have either a window or exhaust fanThe water heater must have a discharge tube that drains to a floor pan, outside, sink, or other appropriate place. 

When your house was built before 1978, you need a lead based paint certified painter/contractor to do the work to make sure they follow practices that contain any dust or paint chips created in the process.

Not sure about Oak Park - but here we cannot just write a new lease mid lease and make them sign.  

Keep in mind though even some types of healthy trees like oaks will drop small branches so trimming won't eliminate this.

And then let the chips fall where they may.

We have dealt with this as a neighbor's diseased 50+ ft oak tree that has on two occasions caused damage to our home, fence, and trees when very large branches fall off of it. 

You will need 10% over the area you plan on tiling to account for cut off waste and then I would buy some extra tiles as back up if any get chipped or cracked damageI would also look and see where you can get clearance tile at.

The real reason is it was their last and only bargaining chip they had with me and used it as a means to control me. 

Avoid Oak and other old trees.