Welcome aboard, Ana! Your family is really going to love the Disney Fantasy with its new technology and so many exciting activities and events for all ages!
Many times, there will be an Interdenominational Church Service on Sunday morning, but it is not guaranteed. Be sure to check your Personal Navigator the night before to find out if it is offered and to see the exact time and location. In the past, I've seen them offered at 8:30, 9:00 or 9:30 a.m. on Sunday mornings.
If you'd like to use the internet while onboard, there are WiFi hotspots available in various places throughout the ship as well as laptops available in Cove Cafe for a fee. Rates for internet usage begin at 75 cents per minute and packages are available.
Internet rates are available on the Internet and Phone Services page of Disney Cruise Line's website so you can get a better idea of what to expect.
One of my favorite things about sailing with Disney Cruise Line is leaving the phones and computers turned off and really just living in the moment with my family! But, I do understand that sometimes guests must access the internet for work or other reasons, and it is so nice to know that Disney has a way for guests to do this, even in the middle of the ocean! The internet is slower than you're used to at home, but for being out in the ocean, it's pretty amazing that we can still surf the web!
I hope that was helpful, Ana. Please stop back again if you have other questions!