You might start with running hot water through and a plunger – if all else fails, then go for the Liquid Plumber and then consider buying a screen that doesn’t allow hair to go down the drain, but actually clogs it on the surface so you can lift it immediately out.
The best product is a little elbow grease. Remove the P trap & cleen it out, all the hair and junk. It is shaped like a J. Place a pan under the drain line and remove the two nuts holding it in place.Pull down and it’s off. Replace in reverse order.
check at wal-mart or your local home center store for a device called "zip-it" it is a long piece of plastic with teeth in the sides. Side it in the sink and slowly pull it back out. It is gross and you will pull up a chewbacca but without using any chemicals. It cost about 2 or 3 dollars. It says to throw it away after use but, i clean it off and put it back it the packaging for later use. I have to use mine at least once a month because of the long haired girls in my house.