At 26 you’re being overly influenced by your parents’ emotional reaction. It’s unfortunate that your parents don’t realize that the very way they are treating you is the way they fear your loving boyfriend would be hurting you. They are already doing to you what they dread he might do. They are the ones verbally abusing you and trying to control you by hurting those you love.
The emphasis here is on moving on. If your parents are threatening to leave the home — wish them well. If you have an opportunity to move out, now is the time to do so. The most important thing that your parents are missing is that in the effort to help protect you they are hurting you in the very ways we are trying to guard you from. If you can’t move out now make a plan to leave and stick to it.
Normally I would recommend family therapy, but it doesn’t sound like your parents are interested in this path. I think I would explain exactly where you’re at with them in a discussion. But then make a plan not to live under the same roof. It is time for you to have your own life. The sooner the better.