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is vague term - unsteadiness. If there is definite sense of rotation, it is vertigo.
The body's balancing mechanism is in the inner ear. An ENT (Ear Nose Throat) specialist is the one to see. They have special tests to confirm or exclude the contribution of the ear - which probably is the case with you. Nausea (feeling like to throw up) can be due to dizziness.
If there are no clues, then you have to be followed up by a neurologist
In the mean time, medicines like betahistine
or flunarazine alone or in combination may help the dizziness / Pro-kinetics like domperidone
and Proton Pump
Inhibitors like omeperazole will help in nausea and hyper-acidity, respectively.
Wishing speedy recovery