If you don't technically need the 'needle' part, you can get them at Rite Aid or CVS as a 'medicine dropper'. Medical supply places have ones that come to a fairly think point at the end.
Cvs has the ones people with diabites use. NY has some stupid syringe laws that you need a RX to buy them online. I will pm you a link with some places.
Go into your local Wal-Mart Pharmacy. Tell them you would like a few syringes. They give them away for free. This is a program to help stem the tide of re-using needles for addicts.