Don't know any place in Old Bridge
 
but I know two very good places down the shore
One in Belmar e another in Wall 
Belmar
purr-fectpartnerspetgrooming.com
I used to take Judy (my 12 1/2 yr/old yorkie - that passed away in Oct 08) there. They are very good 
Wall 
Purr'n Pooch - The Very Best Pet Boarding, Training, Grooming and Daycare
This is a very fancy and nice place. They offer more then grooming.
I never took Judy there because when I tried to set an appointment they were very much booked for months, then I found the place in Belmar and loved. 
Since I moved away from that area (I'm in Jackson now) and learned a lot with Jody (I groomed her for the last 2 years,) with Millie I will do my own grooming