To do this, check the laws for homeschooling on this site. www.hslda.org

After, you can see what your options are for homeschooling your child.

My personal recommendation would be to contact the school they’ll be going to once you move and explaining the situation. See what they have to say. Also contact your local school and explain to them the situation. Between the two, some unique situation might be worked out. Perhaps something can be set up at the school where you now live so your kids have an independent study time to catch up to where they should be for their new school. Or they may have some other ideas. But unless you know exactly what this other school’s curriculum is (if it’s in another state, it’s going to be different!), hiring a private tutor isn’t necessarily going to help. You need to know where they should be at when you move, which you can only do by discussing things with the new school.

And since your only talking about a 4 week period you could simply do the home schooling yourself. It would only take you 2 to 3 hours per day and they don’t have to be all at once… you can find resources for what to use all over the net.