I have been experiencing a burning sensation on my cheeks, often accompanied by a sensation as though my lips are swollen ( they are not) and increasingly dry eyes. Any suggestions how to get rid of this?

It really depends on what is causing it. Are you allergic to anything? Any new foods, detergents, perfumes/colognes, etc?

In the end, we can only give you ideas. For a proper diagnosis and treatment you will need to see your primary care provider.