Animals improve health, so try about this:
Animals can improve mental health, physical health, and it will make you feel more secure, especially dogs or cats.
If you're going to take care of the animal, promise them that you will feed them, let them out for exercise, especially if they are a dog or a cat.
And even if your parents can't trust you, show them something that shows responsibility, like taking care of an egg for a day.
Keep your grades up and show them responsibility by doing chores.