It actually depends on if you are planning to stay within Maryland.
If you are, you should file in MD as a part-year resident even though you were not there for over 183 days as you are planning to stay there.
If you are planning to stay in MD, you should also file a part-year resident return for New Jersey up until the date of your move in August.
When you are preparing your returns, you should prepare the nonresident returns first for New York and DC. Then go ahead and prepare New Jersey and Maryland.
Make sure you complete the credits for taxes paid to other states for the state you will be keeping as your resident state (it will depend upon your answer regarding the MD return.)
If your wife is planning to keep working in DC while working in MD, be sure she contacts her employer to request that they withhold taxes for her state of residence. DC does not withhold taxes for nonresidents. If you are able to do this, you should not have a filing requirement in DC if your current situation remains the same.
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