Jerusalem and around is so interesting for photography, and as starting point for your planned day trips it is also ideal. You should stay there as long as you can, perhaps two days in Tel Aviv?
Many years ago I was in Israel for three weeks, stayed in Jerusalem, and a few days at the Dead Sea, made only a one day trip to Tel Aviv, but don't have the feeling I missed something not having been there for longer. - And, of course, depends on what you are interested in for photography.
Have a nice trip to Israel, and I hope I will see your photographs here on FAA, after you will be back home!
Take care.