Carolann:
If you're looking for a cruise from NYC, why don't you look into Carnival or NCL to see if they have "family cabins" that sleep 6? Many of the new ships do have larger cabins that aren't as expensive as a suite.
Or, you may want to look into booking yourself, your husband and your two younger children into an outside cabin and then booking a cheaper, inside cabin right across the hall for your teenaged children. That way you get two bathrooms among the six of you, yet the inside cabin is much lower priced than your outside cabin. It also gives your teens a taste of freedom which allowing you a close watch on them.
Smooth sailing,
Luisa Frey Gaynor
Family Cruise Editor