I'm going to kick my brother out of my house
That seems very drastic. What did he do for you to kick your brother out?
Well I'm sick of him not doing any chores around the house.
Your brother and you seem to have some differences, but you should always support family no matter what happens. Tell your brother calmly to help out a little around the house more, he needs to hear that. You won't want to kick family out, he will remember it and do the same if you are ever in the same situation.
You are right. He's going to figure things out.
Thank you for understanding. I do suggest that once you tell him, try to be calm and respectful of what he has to say. It's healthier to have a calm dialogue than yelling at each other without actually listening.