The cinematography in Prince Caspian draws in the viewer with striking scenery and intriguing close-ups of the story's characters. The viewer follows the story line without difficulty. Several scenes are tense in a good way. The special Narnian characters are delightful (Trufflehunter the Badger), dignified and imposing (the Centaurs), and the Minotaurs are scary and courageous. There are surprises even for those who have read the books. A special hat tip to Trumpkin the dwarf!
But the deepest satisfaction comes from the playing out of the hard, real-life issues that the main characters have to deal with that are the heart of Lewis's work. The sense of Aslan's absence and indifference is one of these, and the pain of coming back to a Narnia that has changed since their first visit is another among several.
So yes, by all means go see it on the big screen and take everyone with you! I came away saying, "I would like to see that one again."