My parents are sabotaging my moving out plan!

Need some help….I am 28 years old, just got out of school after many years. I had been living at home to save money because of the tuition but am now employed and ready to move out. However, this is creating a major rift with my divorced and dysnfunctional parents. My mom threw a fit and said it was selfish for me to move out when I could be paying her to live in her house. While my dad says he will no longer allow my dog to come over while I am working ( he is retired and often watches my dog during the day), assisted another person in buying a condo I was interested in, and has been creating trouble for me within the family in general. Not to mention he has been treating me like dirt. I feel I should be able to move out without feeling guilty. Any thoughts on this? Any suggestions for alleviating the tension in my family because of it? By the way, this is not a cultural issue, I am French Canadian.