Just piggybacking on this:
1) if you have a Mac, the latest version of iMovie (free with every Mac) is basically a cut down version of iMovie (or... flipping things around, the latest version of Final Cut Pro X is actually a rebuilt-up version of iMovie with re-engineered capabilities from an older gen of Final Cut Pro)
2) If you're serious about FCP X and music making, you could do much worse than spend $200 for the Apple Pro Apps Education Bundle! You get full versions of Final Cut Pro X ($300 full price), Logic Pro X ($200 full price), MainStage 3, Motion 5, and Compressor 4.
They don't actually validate whether you're a student or not. (You can rationalize yourself as a life-long learner, you're an alumni, or have a child/relative/friend who's in some level of school)
Logic Pro X is well worth it if you do any music sequencing. While it too is basically a built up version of the free GarageBand app that comes with every Mac, the big deal here is the huge library of software instruments. I think back a decade or two and how many rack synthesizers and full keyboards I used to own. You basically turn your computer into a software synthesizer. (The companion app that comes with it, MainStage, lets you access all of those sounds easily as if it were a standalone synth without requiring to do complex fiddling. Just plug in a USB music keyboard (or even play from your computer keyboard) and you're up and running.