How can I regain my parents’ trust after telling little lies quite often?

Apologize to them for telling lies, do your best to be honest from this moment. In time, this will lead to new experiences for you and them, and their trust will develop again. You can’t control when they begin to trust you, but you can do your best to be honest from now on, and your honesty will be a reality, and sooner or later people will come to terms with reality, unless they want to keep resisting it, and this is their choice not yours, only they can make it. You can be happy whether they trust you or not, if you yourself know that you are a trustworthy person, and are true to yourself. You will have made all that can be done by being honest and accepting them as they are, unconditionally loving them to the best of your ability.