Looking for a 1-2 room apartment in Queens or Brooklyn

I am looking for a 1 or 2 room apartment in Queens or Brooklyn for June or July 1st. I live with one small, well-behaved dog. I am a 40-year-old woman and a professor. My budget is a maximum of $2000 for a 1 room apartment, and I can pay a little more for a 2 room apartment. Please contact me by phone or SMS.