In selecting the capital, Washington DC had advantages such as: not a state but a district free from biased influence in politics, being appropriately placed to take responsibility for war debts post-Revolutionary War and being an area amiable to slave holders and their plantations.
Disadvantages of the Washington, DC capitol include the initial loss of land from the states of Maryland and Virginia, the area is not considered a state, and tax burdens on its residents.
If the capital was being moved today, three cities that might be considered include: New York, New York, Dallas, Texas, or Seattle, Washington.