I quit my job 6 weeks before school started, and I felt like it wasn't enough to decompress before the program.
Think about it this way - for two years, you are going to eat, breathe, and sleep business. MBA programs take your full effort if you encompass everything you do in and outside the classroom (networking events, recruitment, seminars, etc.). When you graduate, if you are without a job, any time off is going to be spent looking for a job. The time you have now is a great point to rejuvenate and enjoy doing whatever makes you happy. Everyone I went to school with who stayed at work until the very end (2 or 3 weeks before school started) absolutely regretted it.
I did my management internship at a top tier CPG firm within brand management during my MBA and can tell you that it is one of the few industries that simply does not care about your background pre-MBA. They hire plenty of BBA's into the same role as an MBA and are an industry that grooms their employees as a clean slate from school. They won't care if you left your job in April vs. June when you apply during recruitment.