There is no limit to the amount of pictures or poses that you can take. But like PrincessShmoo said that you should keep in mind that there is a line. With my family, we typically do a group family picture and then a picture of just my nephew with the characters. Also, my family never takes a picture on our camera with the character anymore because we know that we are getting a digital version of it. So, we never worry about it. Sometimes, we will sneak out of dinner to take a quick picture with a character that we love because most people will either be at dinner or watching the show. Arrive early to the popular characters that you love because they may have a line started for them already. We definitely did that for some of the outfitted Mickeys and Minnies.
We take the most advantage during formal night. We make the whole family get ready early and we go down to take pictures. Usually during this time, there is not many people around or very few... so we definitely do a lot more poses and move around quickly. Sometimes, we will go to the location that has the shortest line. Another bonus opportunity to take pictures... is that they typically have the white background out on most nights, so we take pictures there as well because no one is in line for those typically or very few. My family tends to dress up a lot by matching or in homemade outfits.
I honestly never noticed how many pictures we took until recently when someone asked us on the cruise and my sister-in-law answered. We just have fun with it especially during the formal nights, but I do want to say that we spend a good hour before dinner taking pictures with characters or the portraits.