There are several different possibilities here, but the likelihood that you are experiencing some sort of reaction to an antibiotic (you have taken three different ones recently) is high on my list. I would recommend getting in to a primary care doctor
right away. If you cannot reach your own primary care doctor about this issue, then going to an emergency room or an urgent care center for more rapid evaluation would not be unreasonable. They can help figure out whether or not this is an allergic reaction and, if so, what to do about it.
In the meantime you should watch out for signs of any serious allergic reaction. For example, if you develop swelling in your tongue or face, wheezing, trouble breezing, or abdominal pain
, these could all be signs of a serious type of allergic reaction that requires immediate evaluation. In this case, you should call an ambulance or get to an emergency room right away in order to be evaluated.
In addition to an allergic or drug reaction, your doctor can also consider the other things that can cause skin reactions on the palms or soles, which might include certain viral infections or inflammatory conditions like eczema