We are not members of a church, either. (Long story.) As others here have suggested, you’ll have no problem finding books and resources to use. There are many resources on the list we put together that you will find useful.
However, you might have a challenge finding a homeschool group because, like me, you don’t subscribe to a particular church doctrine but you’re conservative (I’m assuming because you’re here). If you’re considering homeschooling, try looking for a group now while your child is young. Some groups require you to sign a Statement of Faith, for example. OTOH, we came up against the left in a Christian group that didn’t require a statement. There are all-inclusive, secular groups with a mixture of political left and right and people of all faiths as well as nonreligious; we did find one where everyone got along well. Next we’re trying another Christian group. But... whatever you do, make sure your child will have enough to do with other children and that your child will know some other children who are homeschooled.
Thank you all for the useful advice.