First stop, New York City and vicinity. Then south to North Carolina to visit my uncle and aunt, then down through Georgia and maybe into Florida, then back to Virginia, possibly by way of Atlanta where I also have "people" I may try to track down. I haven't sorted out all the details yet.
Amtrak's Palmetto Line will take me from Washington to North Carolina. (This line's northern terminus: New York City Penn Station. Southern terminus: Savannah, Georgia.) Another line, apparently called the Silver Service line, partly overlaps Palmetto and continues down to Miami, Florida by way of Jacksonville and Orlando. Map of both, red markers indicating stops: