If you love trains, you will love The Rhinecliff Hotel. If not, you should probably stay in Rhinebeck; but you would totally be missing out. Impossibly quaint and perched on the shores of the Hudson, all rooms have river views and balconies, allowing you to watch both trains and ships, which is fitting, as it was built to serve both ferry and rail passengers. Located just a few miles from Rhinebeck, the subdued Queen Anne style hotel was constructed in 1854 by architect George Veitch to serve the Rhinecliff-Kingston Ferry Terminal, as well as the Hudson River Railroad. It is a simple Victorian, with a gabled roof, and second story…