I\'m sure there used to be a plugin for this kinda stuff, but now that I need it, I can\'t seem to find it (naturally), so I\'ll just ask nice and simple.
A simple keymap in vim would solve this issue.
map viq F”lvf”hh
This above command maps viq to the keys to search between quotes. Replace " with any character and create your keymaps.
Stick this in vimrc during startup and you should be able to use it everytime.