B&Bs are concentrated in West Cliff in the streets to the south and east of Royal Cres. If a house here ain't offering B&B, the chances are it's derelict. Accommodation can be hard to find at festival times when it's wise to book ahead.
Henrietta St, to the east of the river, is a good place to look for self-catering accommodation among the rows of cute little fishermen's cottages.
Whitby is a lovely spot to rent a holiday apartment, as many of the crooked old fisherfolk cottages have been converted into charming self-catering units. There are a handful of agencies specialising in Whitby rentals, including www.whitby-cottages.net and www.holidaycottagesinwhitby.co.uk.