It really depends on what kind of budget you are working with. I saw in the comments that you want a 2 bedroom no higher than $2500. You can easily find normal apartments for that in the Heights, Journal/ McGinley Sq, luxury may be pushing it. You could find something in that price range in downtown but you will probably be on the fringes of the area. West Side Ave (by the light rail station) is a good option to.

Another option could be Bayonne. You MAY be able to find luxury housing for that price (1 BR is more likely though).