Hello! I am also twenty-two and have recently joined the Orthodox Church. My father is a former evangelical Baptist minister, and he and my mother are still deeply commited to their church and their faith; they are godly people. It was not easy to begin to explore Orthodoxy, because in many ways I had to separate myself from their beliefs, beliefs that we had shared up until that point (not that this is a bad thing, some tension in our Christianity can be just what we need for growth).
Now, my parents were never expressively opposed to other forms of Christianity, so I can't share that degree of tension, but they certainly were not and are not comfortable with some practices (such as prayers to/for the dead, the veneration of the Theotokos and the like).
That being said, they respect and trust me - which is a blessing - and I think that they know that this is where I should be, however confounding it may be to them.
Any advice? Well, just this: don't go looking for arguments. Try to promote what you have in common with them, which is Christ as Lord and God, however different they may understand this. Let them ask questions and do some reading so that you have answers, but share them gently. And don't get too down on yourself when you don't have an answer. In fact, tell them that you don't and that you'll look into it and then go do so and get back to them. Teach them! Share with them the really interesting things in Church history that many evangelicals don't have any idea about - let them know about the struggles of the Church against Arianism and the like, these are important and might peak their interest into a more catholic Christianity.
And ultimately, be willing to endure tension and awkwardness for the sake of the faith. That is what we are called to. When your parents see that you are truly devoted to your discovery of Orthodoxy, they may begin to take you and it seriously, though it probably will take a lot of time.
And pray. God has led you to Orthodoxy for a reason and thus He will work out things for good for those that work with Him.
That's all. Peace and welcome!