OK, I'm gonna be a negative nelly. Sorry in advance, but from experience your plan to go to inland Florida in summer is suboptimal.
First of all, the red-eye will be horrible. Your little one may get the best rest ironically, but on the lap she/he may be awake all night. you will all be cranky and sleep deprived when you finally get there. It will suck!
Secondly, Inland Florida can be hot and wet and generally unpleasant...in September or October. I can't imagine what the heat and humidity in June would be like, though I've heard it's punishment. We've been twice with 35C+ with 95% humidity. We lasted about 90 minutes at Disney, and were thankful it wasn't busy so we were almost always on a ride for those 90 minutes. You're signing on for unbearable heat that will make you not want to go outside.
The final issue is that you'll be swarmed with the crowds when you want to go. Here's a crowd calendar (
https://www.undercovertourist.com/or...dar/June-2018/). We have found a level 4 or 5 to be about the longest waits we can tolerate. You'll spend all your time waiting in line.
Ultimately, it will be scorching hot, unpleasantly humid, expensive and you'll be outside in lines each day, lucky to get on a half-dozen rides a day.
Suggestion 1 - If you're going to florida in June skip the parks and go to the beach, where the heat is manageable and you aren't standing in line at a theme park all day.
Suggestion 2 - Go somewhere else entirely. Basically June is one of the best times of the year to travel. Almost any place is exceptional in US and Canada except for a band from inland Florida / Louisiana across the south to Joshua Tree in California, where it's entered inferno-summertime. .