☆Famous place to see cherry blossoms in Miyazu city is Takigami Park(滝上公園Takigami kouen). Blooming season is usually beginning of April to mid April. In the past there was lighting up in the night but I'm not sure now.
P.S. I visited Takigami park spring 2014 and almost of cherry blossoms are too old to bloom. I recommend Miyazu junior high school more than this park.
Access:15mins by bicycle from Amanohashidate station or walk 40mins.
Location on google map.
By bus from Amanohashidate station about 5mins ride and get off at Sannoubashi(山王橋) and walk 5mins. Bus fare:170yen(single)
☆On the way to Miyazu junior high school. If you are walking straight on a street from Miyazu station, after few mins walk you already can see cherry blossom on the other end of the street. About 10mins walk from Miyazu station.
☆Street Around a fire station near Amanohashidate.
I saw this street's cherry blossom on 6th April 2014 and I think maybe one of the best place to see cherry blossom around Amanohashidate.
Access:15mins by bicycle from Amanohashidate station. There is a cycling path all the way :) Or take a train from Amanohashidate station and get off at Iwatakiguchi station(岩滝口駅) and walk about 5mins(450m). Train fare:210yen.
Map of the location. Please stay beside sea which is the cycling path I mentioned, the map can't show that path completely.... :(
☆At Kasamatsu Park, about 50 cherry blossoms are planted. (The pictures are from 5th April 2013)