Workout routine for martial arts?

So I just turned 18 in january and I finally decided to really get in and apply for a gym. However, I don't have a plan or workout routine to follow. I know there are other things to remember but I'm not very knowledgeable with what excercise to do to improve my martial arts experience as well. So can you guys kindly answer some of my questions. Thanks!

1. Workout routine? Perhaps focused on strength and Endruance?
2. Should I separate my upper body workout from lower body? Or do i do the separation thing where they separate the arms to the legs etc... Does it impact anything?
3. What's a good workout schedule? Every other day or everyday but separate body parts?
4. What are the necessary items to bring to a gym?