Wi Fi is great all around the resorts and in rooms, there is also a computer room where you can print off return boarding passes should you need this facility. Should be ok to check in with the kids. I'm sure you'll love CTI - have a great time.
And let me clarify for all those thinking we're crazy for being that connected everywhere...for the most part it was just with our Kindles for reading and we brough up the internet twice to share photos of our family with some staff we became friends with!
We had no signal in our room but a strong signal in the hall, balcony, on the beach at most of the restuarants. DH had to work some and he did so from the balcony. We were able to FaceTime from the balcony as well.
We were on the top floor of building 3 and it worked ok back in October. Some days it would be good inside the room other days the signal came and went. The year before in building 4 it only worked on the balcony, we were in the part of building 4 closest to the beach.
I have to work a little on every day of any vacation so I must have internet access. Several years ago they did not have access in the rooms so I had to go to the internet cafe and then wifi would allow me to sit in the lobby.