Based on what you said you have done at Disney, these are some rides to skip:
Hollywood Rip Ride Rockit
Jurrasic Park River Adventure
Dudley Do-Right
Hulk
Dragon Challenge
Two rides I am not sure about. The first is the Mummy roller coaster. If you can handle Space Mountain, you should be fine on Mummy. However, it has a lot more themeing and a "launch" lift hill. The car starts off going slow up the hill and picks up speed as it gets to the top. This is an indoor rollercoaster and not as tall as Space Mountain and does not have many drops. The max speed is in the mid 40s. It also has one SMALL backwards part where the car goes backwards down a SMALL hill (its like 5 feet). Like I said, if you can handle Space Mountain, you should be fine on this one.
The other is Popeye, which seems silly but it does have a huge lift hill near the end of the ride. Again, you should be fine on this ride, but I want to prepare you that you will be going up a BIG hill, however you will not drop down this hill. This ride is a big raft ride. At the top of the hill you go down some small little hills. Nothing too bad.
As far as the main HP ride, I suggest riding Spiderman first. If you can do Spiderman (which should not be a problem since the ride remains on a flat track the whole time), then I think you can handle FJ. FJ is more motion based. Think of it like Dinosaur at AK, except you watch some video screens from time to time and your feet dangle off the side of the car. Really fun ride that you should try at least once.