Damoshe:Just a note about a little known fact and could be important for an out of towner. Brooklyn Bagel and Bagel Hole as everyone (myself included)calls them are misnomers and actually the name of non-kosher establishments.
The actual name of the kosher bagel store on Nostrand is Original Brooklyn Bagel.
We found this out as once a friend from out of town with a similar request as the opening poster wanted a bagel store and we recommended Brooklyn bagel. Apparently Brooklyn Bagel gets called many times a month for people looking for the kosher store on Nostrand.
Next time you pass,look at the big letters Brooklyn Bagel on the storefront, prior are the words Original superimposed on a bagel.The real name for Bagel hole is Kosher Bagel Hole
Here are their phone listings:
Original Brooklyn Bagel Nostrand Ave (718) 253-5928
Kosher bagel Hole (718) 377-9700
Going with Brooklyn bagel or either Bagel Hole are solid choices,Brooklyn Bagel also has real in store seating.