Originally Posted by peanutsmom
Any starting point to learn about homeschooling, if/when I manage to scrape some time, just for feasibility study?
You'll find informative articles on the Davidson Database, including Homeschooling Tips which begins with the advice to parents: know your State's Laws on homeschooling.

Gifted Homeschooler's Forum (GHF) is also a helpful resource.

Originally Posted by peanutsmom
Also the potentials of mixing home schooling with regular schooling, for instance do everything at school except for math and/or science work for instance.
This may depend upon your State Laws and local school policy and practice. In addition to brick and mortar schools (public, private/independent, parochial), some parents have worked with online schools. These also come in public, private/independent, and parochial varieties.