This place is one of the places you should visit in Japan. You can see a lot of deers everywhere after you got off the train at Nara station. They are very used to people and some of them follow you if you have any snacks. Shops sell biscuits for deers and you can feed them in the park. Deers are usually starving in the morning and I have seen some tourists who have a biscuits and were surrounded by deers many times. I visited there with my guests and they enjoyed to feed deers and take photos with them.
Nara has traditional area like a Kyoto because this city has very long history. I took them to the traditional area and took some shots with a temple and a tower.
I recommend you Nara for day trip if you stay in Osaka or Kyoto. It takes about 1 hour from these cities and I am sure you would have great time with deers!!!