I don't like mowing the lawn for free.
Are your parents making you do that? Why don't you want to mow for free?
My mom wants me to mow the lawn and she won't pay me for it.
If it is your own lawn then you should just mow it. It's considered rude if you don't listen to your own mother who has taken care of you for your entire life.
It's not my lawn and it's not my house.
So you are an adult and live somewhere else? I understand how frustrating it might be to have to do this for free, but she's your mom and you should just try to treat this as a favor for raising you properly.