Hey Charles!
To access showtimes, you can visit the
Official Walt Disney World Calendar pages for each park and then click on the individual day for the schedule.
You can also see it all laid out together on an unofficial site like wdwinfo.com. Their calendar has all of the theme parks, water parks, and evening entertainment schedules on one monthly grid, which saves you a bit of clicking around. I typically use both the Official Walt Disney World calendar and the wdwinfo calendars together to plan our vacations.
I went ahead and checked the schedules for you. It looks like Illuminations: Reflections of Earth will be presented each night at 9:00pm. Fantasmic! will be shown nightly at 8:30pm with additional shows at 10:00pm on April 12,13,14.
Thanks for coming to see us Charles! Please let me know if there's anything else I can do to help make your vacation as magical as possible.
Have a Disney day!
Ashley