Wood stoves burn very inefficiently and release a lot of carbon into the air. An efficient heat pump will do a better job and be better for the environment (even if the electricity is unfortunately generated by gas or such).
I only have two humans and a dog in my household but we typically only generate one kitchen bag of trash a week by diverting a lot of our cardboard and food scraps into a small compost pile.
Honestly I find the easiest way to start is just to stay engaged in places where you'll see ideas, like this community, or on YouTube, and then try those ideas as you see ones that appeal to you. As you engage more, and try more options, you'll find what works for you, start coming up with your own ideas, and slowly produce less and less waste.