Airlines do the Stopover thing thousands of times each day.
I almost always do my flight to Disney in 2 hops. They make it as easy as possible for you.
1. When you check in to start your trip, the attendant will check your baggage all the way through to your final destination, so you wont see them again till Orlando (Or your room if you are taking the Magical Express)
2. At the same time the attendant can check you in, and give you your boarding passes for both legs of your flight. Thees passes will have the Flight#, Terminal, Gate, and Seating information for both legs (1 pass for each leg). Ask the attendant to show you this information. If it is not there ask the attendant what their procedure is at the stopover. After this point you SHOULD not need to talk to an attendant again. (But sometimes things pop up so dont be afraid to ask if you need to)
3. Take the first leg of your flight the same way you always do. While you are in flight you may want to ask the Flight attendant to inform you if there are any changes in the Flight#, Terminal, or Gate information. You can also ask what Terminal and gate your current flight will be landing at.
4. Now there is a Magazine in the Seat pocket in front of you. Take it out, and somewhere near the back there will be a Map of the Airport you will be stopping at. Find the Terminal/Gate you will be landing in, and the Terminal/Gate where your connecting flight is taking off from. Study the layout of the airport, and what turns you will need to make going from your arival Gate to your Connecting gate.
5. When you land, dont waste any time. At this point it is far FAR better for you to be 30Mins early than 2 Mins late. your first priority is to get to your connecting gate. Once you are there, if you are early enough, you can go to the washroom, get a snack, buy a teeshirt or whatever you want to do, but do this only AFTER you find your gate, and you are sure you are not going to miss your connection. 7:52 to 8:45 leaves you 53 Mins to get there. This is more than enough time IF you dont dilly dally. But 53 Mins passes really fast if you are strolling and sight seeing. the last thing you want is to miss your conection.
6. When you get off the first plane, take 2 seconds to check the "Departures" screens which are located all over the terminal. find your connecting flight #, and check to be sure that the Terminal, and Gate information is still correct. Airlines OFTEN change this at the last second, so this short stop could be well worth the time. If they have changed the terminal or gate, dont panic. There are signs EVERYWHERE telling you which way to go to find your terminal. Once in the correct terminal just follow the numbers to your gate. Its not all that hard.
7. When you are at the gate, check the information board behind the gate desk. This will confirm the Flight number, and the boarding time for you. At this point, if you have spare time, you can wander around, but NEVER loose track of time. Boarding your second leg is no different than boarding your first leg. If you arent there when they close the doors, they wont be comming back for you.
8. From here on out, its no different than every other single leg flight you have ever taken. Sit back, relax, and dream of Disney!