Iphone Messages Problem! Please

In my imessages. I found out that my dad receives my text messages on his iphone. I hate this! I feel like i have no privacy! I made a new, separate apple id under my own current email address. Will this work?

If you're phone is under his name, then he can choose wether or not he wants to see the messages you send. No matter what your apple ID is. So unfortunately you can't do much about this expect be careful what you send.

If you create a new Apple ID this will be able to be used on your iPhone and then you dad won't be receiving your messages. Because iMessages are linked to an Apple ID and if you use your Apple ID then it won't be able to be received by your dad's phone.