am about to start migrating 10.2.2/VS 2010 Express addin code across to 10.3/2012 Express and I get an integration error when creating my first project. I installed studio first and then the SDK on top as per normal. The error is
Final Cut Studio Pro (version 7) is the old version of Final Cut that was discontinued this year, though it can still be purchased if you ask.
Final Cut Express was a lower-end product that resembled Final Cut Studio, but was a slightly different interface. It was also discontinued this year.
Final Cut Pro X is the new video editor from Apple that takes the place of the old Final Cut Studio Pro.
The only choice you really have is Final Cut Pro X. That's the one in the Mac App Store. The only reason to seek out the old and more expensive Final Cut Studio Pro is if you are a large shop that has standardized on that old software and do not wish to retrain for the new one at this moment. Some studios use special features of that old version and are not ready to move on yet.
So, for you, the only choice is really Final Cut Pro X. It is what I use, starting about 20 episodes back.
I don't know what this "full version" of "Final Cut Pro Studio 10" would be. There is only one version of Final Cut Pro X and you can only get it from the Mac App Store.