See what product shifts you can make without the family noticing. I have some fantastic vegan muffins and cookie recipes. Vegan ice creams and choc are good too.
Focus on very well-made high-flavour meals you can make with small amounts of meat protein (or zero) for your family - so, curries from all the various countries, vegetarian chilli con carne, soups, risotto, pasta with vegetable sauce.
Introduce nuts for snack times.
Once a month, cook a high-welfare organic roast chicken for the family. Eat a slice each for dinner, bulking out the meal with stuffing balls and bread sauce, you can try different stuffing recipes with nuts and different herbs. Make that chicken last! Take every shred of meat off it, and freeze in small portions, use the small portions Boil the carcass for stock, and add vegetables to make soup.use small amounts of the frozen chicken to throw into your family's portion of a vegetarian meal eg a risotto, a salad, you get the idea.
Also, climate-wise: There is no point cutting out ham, if you then have an oh-so-fabulous salad made with avocado and imported products. You have to buy local, seasonal food if you want to make a difference. Shop at a local Saturday food market to reduce food miles etc.
Look at the rest of your lifestyle. Are you doing everything you can to save the climate elsewhere? 2 minute showers, second hand clothes, growing flowers in your garden to help pollinators, switching to an ethical pension, no flights to go on holiday, reducing overall consumption of stuff.