I am having trouble with the kitchen faucet making a whining noise, mostly from the hot water side (it is a two handle faucet) but occasionally on the cold side. I was told this might be air in the lines so I opened up every faucet in the house and outside to try and bleed it. While everything is on the whine disappears but as the other faucets were shut off the noise came back.

Any suggestions?

The whine is more likely a loose washer in the valve or at the stop under the sink. Do you know how to open those connections, if not a brand/model would come in handy.

I will get the model number - will that help determine whether it is the valve or at the stop?

No but it will help us tell you how to open the valve body if the noise is not the stop below.