If you are interested in Bayonne, do yourself a favor and run, do not walk, out of this town! A reval is coming that is going to devastate the housing market even more than it's already been hurt. There are for sale signs in the thousands in Bayonne with very little happening, except at below-listing prices. Crime is rising at a perilous rate and we just had a gang-related stabbing by our high school. Illegal immigrants and Section 8 housing make up the bulk of new "residents" to Bayonne, and the corrupt and inept politicians here have no plan on how to deal with all of these problems.
If this was 10 years ago I would unhesitatingly advise you to settle here, but having been here all my life I have NEVER seen Bayonne in such a poor state. Garbage all over the potholed streets, roving gangs of "youths" causing all sorts of mischief--day and night, grafitti being applied to virtually all commercial buildings and some homes, car thefts, bar fights involving Bayonne's off-duty cops, etc.
Good luck, but you'd be much better off heading west to Clark, Cranford, Westfield, etc. All great places to live and you can get into the city in LESS time from there than you can from Bayonne, which continues to have the worst public transportation in Hudson County.