They will enjoy showing you their country and their customs. You'll be invited to birthday parties, festivals, weddings, and the like. Don't hesitate to go. It's a good opportunity for you to learn Spanish and your students to practice English. You'll enjoy learning from your students while teaching them.
Many teachers return to Mexico again and again to see their former students.
The best part about teaching is that you can be your own boss. You set your own schedule and decide on how much you want to work. Most teachers schedule classes Monday through Thursday so that they can have Friday off. Mexico's bus system is one of the best modes of transportation anywhere. It's inexpensive and comfortable.