Quite a few of my dreamings I'm flying, I remember how I fly and how easy it was that when I woke up I feel like I could really do it. One time I was flying I thought hey I can't fly and I relized I was in a dream and went lucid, then I just fly around more anyways lol. Anywyas you could probaly use the same techquie on how you fly in a non-lucid dream too. As for the weird feeling thing, I sometimes do that, if I was almost alseep and then I'm thinking about something like walking down the stairs and I miss a step, then it feels like I miss a step and then it feels like I actually then and I jump 3 feet up in the air and then I'm awake agian. Maybe everyone has differnt feelings they feel when falling asleep.