No, absolutely do not give them to any pet store. Pet store personnel would be even more inexperienced than what you have learned so far. Especially one in NYC. They wouldn't know what to do with them but sell them! No, these need to go to a herpetologist or zoo, at least if you are taking them to someone in your area.
I think that Mark B. has had some experience with hernandesi young, not sure. Maybe he's reading. The best bet is someone from this forum if you can't locate zoo or university herpetology staff who are knowledgeable of hernandesi horned lizards.
Make sure the young have each gotten some water. What are the conditions of the others? Have they all eaten, drank? What are your tank temps.? When did the mother last eat and drink?
I would advise against feeding them local ants. Some ants have been known to be fatally toxic to HLs, as well as fireflies. The mother may be sick from this, or dehydrated from the birthing. Stick with pinhead crickets if you don't have harvester ants. Make sure she drinks a couple of drops. If she has eaten but hasn't defecated in the last 3 days, give her a drop of milk of magnesia about 2-3 pinheads in size. Pinheads meaning an actual pin, not the cricket. I usually wouldn't tell someone new to HLs to try this but in my experience, by the time I figure out a condition on a forum and someone gets back to me, it's usually too late for the lizard. You will also have to make sure she is hydrated throughout the medicine taking effect.
Make the temps in the low 90s. This will be enough to encourage activity and help boost the immune system, but still keep a hernadesi comfortable.
AND CALL AROUND TO SEE IF ANY ZOOS OR UNIVERSITIES SPECIALIZING IN REPTILES HAVE ANY EXPERIENCE WITH HORNED LIZARDS.
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"A man that should call everything by it's right name, would hardly pass the streets without being knocked down as a common enemy." The Complete Works of George Savile, First Marquess of Halifax 1912,246