First things first, identification.
The morel - Morchella - is hollow, i.e. if you slice it down the middle lengthwise you will see that it is completely hollow (cap and stipe).
The false morel - Gyromitra - is *not* hollow in this way.
Also, once you have 'calibrated' your eyes by seeing both of them in the woods you (unless you have major visuo-perceptual issues) will never mistake the one for the other.
Secondly, where to look - in my experience, they may be found in old orchards but most commonly around and under ash and tulip poplars (there have to be some seriously sized ones about - I have never found them where there aren't >18" diameter poplars around. I also look for may apples because generally these have to be 12-18" high before I start seeing morels. The best thing about the woods is that it is often easier to see them against the leaf mould than it is in the long grass (old orchards).
I have (so far) found them in Middlesex, Mercer, Hunterdon and Sussex counties - and they are so good than I continue to search for more spots. They can be unpredictable in that one spot will have next to none one year and then tons the next so a variety of spots is always a good hedge against disappointment.
The NJ Mycological Association (yes, I am indeed geeky enough to be a member of it) actually has a foray into the Princeton waterworks (adjacent to the Institute for Advanced Studies) and there will plenty of opportunity for folks that want to see them positely identified before taking the plunge to do so. It is a fun thing to do with kids - just remember to spray up against ticks. They will be meeting at 10pm tomorrow...