Try Pencil. It sometimes crashes on Windows cause it was made for Macs, but it's really good! Some of the animations that I made on this account were made in Pencil >w< It's like Flash, but less confusing c:
This is extremely good, but I can see what you meant by "I wasn't really liking how it was coming out"
The problem is in the second jump. It should be higher. If you intended for it to be lower, then you should have made it a bit more exaggerated, like raise the butt a bit higher or have it keep its head up, because it looks like there is an invisible wall that won't let it go any higher. If you try to imagine this jump with a cat or dog, you'll see it jumping a bit higher in the second jump than the dragon's, and moving more of it's body than just it's legs and back (moving it's butt and tail and moving it's head and giving the back an exaggerated curve). I also think that the second jump is a bit too fast, which doesn't give it time to make the jump look natural. It's because it takes a lot less time for it to go up than it does to go down, which should be the other way around because it's moving it's weight up against gravity, and then down with gravity.
But in all this in an impressive animation, and you should be proud of it.
(oh wow I hope you read this there are so many comments wow and there will be more to come oh gosh)