You can use FFRK-JP-LabMem to automatically synchronize the Soulbreaks on your account with this site for easy searching. Add your API key (visible when logged in) to the FFRK-JP-LabMem general settings (hit 'C' on LabMem to access the settings). Once done, loading the 'Party' menu in FFRK for the first time after opening the game should cause it to synchronize your Soulbreaks.