@itsstillgood is right in observing that people can be very sensitive to the subject of home ed, interpreting HE as a criticism of those who send their children to school. The subject can be highly emotive. You can avoid it somewhat by focusing on why you are HEing your own particular children ("we think they'll benefit from xyz" etc) and avoiding any negative comments about school.
Also people tend to assume that a decision to HE is a permanent one and they worry about potential problems which are years away, such as how the children will sit exams. You can deflect this somewhat by reassuring them that you're open to the idea of school at some future time, you just don't think it would suit your kids right now.
Another idea for coping with negativity is to spend plenty of time in the company of fellow home educators. Join a local HE group if you can. If that isn't possible, hang out online here or on Facebook groups. It's inspiring and reassuring to hear how home ed is panning out for other people, especially families with children a bit older than your own. This will give you confidence.
Another recommendation, if it is practical for your family, is to do plenty of outings to interesting and educational destinations such as museums. Most kids enjoy going out to new places and learn a lot from doing so. And adults recognise the huge educational value of such expeditions.
I doubt there is a teacher anywhere who wouldn't move heaven and earth to take their pupils out far more often if only they had the resources to do so. Sadly, taking a class on an outing is a big undertaking. Teachers need the extra staff, the money, the permission, the planning time. Taking your own two children on an outing may be remarkably easy by comparison.
For this reason, it's easy to "sell" such outings to relatives who are dubious about the value of home education. What's more, you yourself may also get the feeling that you are accomplishing something really good.
The reality is that your children would learn loads through home education even if they were to stay in as much as schoolchildren have to. But it may take some months before you and your relatives really notice the value of what your kids do at home. In the meantime, getting out could be a shortcut to developing confidence in your decision to home ed.