I just signed a lease for a two bedroom in Forest Hills, Queens for $1200/month. Probably about 850-900 sq. ft. It is a great deal for the area. It puts us in the school district for PS 199 which is supposedly the #2 public school in the NY area. The school is about four blocks away. We are right by the "gardens" on metropolitan avenue, for those familiar with the area. There are two units above a peruvian restaurant. The other is still available if anyone out there has young kids. The public school has a pre K program which accepts some kids as young as three so you can save huge on day cares costs (although it isn't an all day program). It is a 10min walk to Austin Street (hip area with National Brand stores) where the 71st subway is. You can take the E or F express into Manhattan. Including bus time from my place to the station (can walk if you want but it is free with the Metro Pass) I figure about 50 minutes to the dental school.
Good option for families with small kids. Very clean, safe and fun area. The apartments are "fixer uppers" but if you don't know anyone in Forest Hills it is very competitive to get an apartment as a student. An old couple owns this building and they don't mind students, just pay the rent. PM if you are interested and I can give you the contact information. The original price was $1300 a month but we got them down to $1200, don't know if you can do the same.