[boyne5]

We moved into a new home, both bath room sink drain are very slow, but shower and tub are fine. WE have tried drain cleaner but no change.

[speedball1]

we moved into a new home, both bath room sink drain are very slow, but shower and tub are fine. WE have tried drain cleaner but no change.

Sounds like a partial clog in the horizontal line in the wall that should be snaked out.
Remove the "J" bend from the trap and send a snake up into the wall.(see image). You will run into9 a bend about 8 inches in bbut once around that you only have 6 more feet of snake to run out. After you replace the trap flush with a bowl full of hot water. Good luck and thank you for rating my answer. Tom