It sounds like your parents are doing what they are doing out of love. But at the same time, they are giving you an ultimatum you need to take. At 23 years old it is time for you to be an adult, making choices independent of your parents attempt to control you. They have invited you to leave if you want to have a life with this man. Take their invitation to leave as an opportunity to become more independent. If you stay home and leave your boyfriend, you will resent your parents for forcing your breakup. If you make the choice to go you’ll have the at least made a decision for yourself.
If you were a teenager this answer might be very different. When we are young parents help shape our decision process. But you are an adult now — in an adult relationship with a man. You do not need your parent’s permission to have the relationship, but you may have to become more independent by moving out to do so.
Wishing you patience and peace,
Proof Positive Blog @ PsychCentral