One of the first things that I will suggest to you is making sure that you have storm grade windows in your apartments. If winds are severe enough, or trees nearby are dead, you run a high risk of having at least one window broken. While this can happen no matter what level of thickness your windows are, it is always better to have storm windows in. These seal better and are sturdier than normal windows and you will want all of the protection you have.
Making sure that your tenant has renters insurance that covers flood damage is something that is imperative. Even if you are not in a place that normally floods, you never know what can happen when Mother Nature decides to hit. Having protection yourself against flooding or downed trees is something that you should double check with your insurance agent. Many things are not covered in basic coverage packages, but it is well worth the extra money to make sure that you are fully protected against whatever may be thrown at you.
Having your tenants figure out an emergency plan is another thing that is certainly worth the time it will take. This way, they will be able to alert you if something goes wrong. One issue many people in Texas are having is the fact that the tenants and landlords did not effectively communicate through the issues before or after the storm hit.
The final thing that we want to remind you of in regards to hurricanes is that your tenants are human the same as you. If something happens, they have also lost their living space. The main thing is that you band together in order to help each other through the destruction. We hope you won't need to worry about any of these things, but you simply never know what will happen next.