I have just started a new a job and they do not have anyone who can answer my question, they claim that they cannot legally give me advice. So my situation is kind of weird. I currently live in DC and just graduated college and am living here the remainder of the summer. My parents live in Florida and still claim me as a dependent so I can claim Florida as my residency and avoid state level income tax. The reason why I am confused is because no one can tell me where to file my state W-4. So the situation is I currently live in DC, I work in Virginia, but Florida is where I would like to claim residency so that I can avoid the state level income tax. In which state do I need to file a state W4. If I file in Virginia because that is the state I work in will I be able to get the state taxes back at some point. If someone could help I would really appreciate it.

It does not matter what is your tax home. If you work in a state other than you tax home, you must file the tax return and report income earned in that state.
You may like to read this: Your U.S. Tax Return: Working in two or more states (http://taxipay.blogspot.com/2008/06/working-in-two-or-more-states.html)

You can probably get away with NOT paying DC income taxes for the rest of the summer, but if you are living there come September, you have a legal obligation to pay DC taxes.

You pay VA taxes regardless of where you live, because that is where you are earning your income. You need to submit the VA-equivalent form to the federal W-4 to have VA taxes withheld from your salary.