Homeschooling is all what you make of it. Some programs work well for one kind of learner, but not another. There are rigorous academic curricula and not-so-rigorous. There are lots of sites that give good advice as to what best fits your family. If you are leaning towards the rigorous, check out
http://www.welltrainedmind.com/index.php. It will give you a good place to start, but keep in mind it is impossible to do absolutely everything in the book. Just take what is appropriate for your kids.
It *is* a little more difficult to do high school math/science/languages, though. There aren't as many curricula to choose from for science (though there are good ones out there) and living foreign languages (I don't think any existing curriculum can stand alone, but YMMV) and many parents are uncomfortable teaching math (probably wouldn't be a problem for someone who had to pass calculus already). At this stage, many parents prefer to have kids take community college classes (looks good on apps, too) or use tutors.
Of more concern is the availability of community resources. A good library is a must (unless you want to rely on Amazon) and a homeschool playgroup/cooperative and/or sports/enrichment classes. In urban areas, it's possible to overschedule HSers with all the extracurricular options, but in rural I would think not so much. You have to let them out of the basement sometime...
