Either will work fine. Compressor is a great, great application. I'd highly recommend you check it out in the future(!)
But you could use either the export to quicktime from directly within FCP or export using compressor.
I'm not near FCP right now...
Anyway, if you're finding FCP intimidating, then you can open the resulting large movie file in Quick Time Pro and export to a smaller size and quality.
In QT Pro:
1. File > Export...
2. Click "Options"
3. Click on "Settings" and choose H.264 as the compression type.
4. Set the quality as desired... maybe medium.
Set the Encoding to "faster encode". Click OK.
5. Click on 'Size'....
Choose a smaller size... e.g. if you original is 1920x1080 it's not necessary to work with a file that size in Logic. I would go down to 768x576 or so...
... but it really depends on the video you're using and how important it is for the quality to be high.
100MB is not very big at all for a 10 minute video and Logic will actually work better with video that is large (in file size) and not very highly compressed.
Any Quicktime format will be readable in Logic.
BTW, how large is "very very large"?
Hope this helps