Let KAYAK do the searching
Based on KAYAK hotel searches, the most popular destination is Hakone (45% of total searches to Kanagawa Prefecture). The next most popular destinations are Yokohama (44%) and Kawasaki (7%). Searches for hotels in Yokosuka (4%) are also popular.
KAYAK users have found double rooms in Kanagawa Prefecture for as cheap as $19 (Kawasaki) in the last 3 days. The average price is $141.