Crusty, red, irritated, itchy, dry, puffy, swollen, lips, what do you suggest?

Two possibilities. Difficult to say without a complete history, but may possibly be an allergic reaction (anything new lately?) or even oral candidiasis (yeast infection). Advise seeing your dentist or physician to diagnose and prescribe needed meds.
Must rule out cancer. Must rule out squamous cell carcinoma! are you in the sunshine state or like to stay out in the sun? Usually all lesions on the lip should heal within 5 days or at most 1 week. If the lesion stays longer, please consult your dentist/pathologist! its (squamous cell carcinoma) occurrence is rare and probably unlikely, but that is the number one lesion that i must rule out in all my patient.