Hello Jen,
I feel with you - my wife and my 2 boys (aged 6 and 7) also love to eat meat. My wife has recently cut down on her own meat consumption a lot due to health reasons, but my kids of course are spoilt by what they get at school and kindergarten :-(
I myself have been a vegetarian for 20 years and a vegan for about 6 months now. I can fully understand that you would feel revolted if your family asks you to prepare meat for you. I assume you have already tried alternatives (like soy granulate for burgers, soy sausages etc.), correct?
Sorry that I can not give you any other advice now than try to found out what your family likes and stick to your decision.
Best regarsd,
Andy