With regard to cyber-schooling:

Try to monitor time sitting at the computer. We put on weight during our cyber-schooling.

There is busy work for cyber-schooling, but it felt more like office work, using the scanner, submitting work electronically. If you like office work (which can be therapeutic, because it tends to not require a lot of thought and you can veg out at that moment or think about whatever else you want to think about), then you might like that office feel. Gifted children like an office environment generally in my experience. Regular classrooms seem so loud and chaotic to gifted persons and can be so unnecessarily stressful.

If you do pure homeschooling, pick the books that you (if you are the supervising adult) and your child are dying to read together. Bring your gifted student to the library and local book store and notice what you are drawn to.

I think there is a site called hoagies for gifted that may be a main source of homeschooling info. Read all of the rules for homeschooling and meet the people in your area that are homeschooling to see if it feels like it will work for you.

When we purely homeschooled we felt like we had to document every discussion we had in a day and the copybook was getting so full that it actually created its own admin. restraints. We never log everything we read -- that feels annoying and intrusive to us (whether it should feel annoying or not, it's probably definitely an uncomfortable feeling of invasion of our privacy, although everyone might feel differently).

Good Luck. Sounds exciting. Sorry if we didn't have more specifics for you.