The changes in barometric pressure can definitely make you dizzy. April, in particular, is an active weather month....lots of pressure differences with the vigorous storm systems that come through - causing fast changes in the barometric pressure (low pressure to rapid rises). I don't think that you would notice any change in your symptoms if you moved to Florida as Florida has many changes (weatherwise) in April as well. The ENT specialist would be a great help for you to find the exact cause of your dizziness. The weather may play a role in your vertigo, but finding out what else might be going on would be helpful too. Benign Positional Vertigo can also cause intermittant vertigo. Exercises are usually done to help this. They are quite effective when done correctly. You can view them at the following website if you are interested...
Meneire's disease can also caused marked dizziness.
These website discuss the connection between barometric pressure differences and vertigo...
Hope this helps!