I had dizziness around that stage too, not quite as severe as yours sounds but it did almost take me off my feet a couple of times. Apparently it's normal in early pregnancy. It only lasted a couple of weeks and then was gone. You should have mw appt soon, I would mention it to her.
I'll give the coconut water a go, and munch a banana or two. I'm a chef so dizziness in a kitchen is not the best thing. Thank god the hotel is empty this week so I could take the time off. Thanks ladies!