Here is a link to do research on property taxes. You can type in any address and find out the assessment and taxes for the year.
APP.com | Monmouth and Ocean counties DataUniverse | Asbury Park Press
Teaneck does have high property taxes, but so do many towns.
For the reassessment, it's always a good idea to call the Tax Assessor and find out when the last reassessment was, and if there is one upcoming. If they did reassess recently, they would have had to reassess the entire town, not pockets, I believe.
HTH