Cellulitis: This is a common bacterial skin infection that can cause redness, swelling, and warmth of the skin, often accompanied by a peeling rash. The bilateral presentation could be due to hematogenous spread or contiguous infection.

Eczema/Dermatitis: Conditions like contact dermatitis or atopic dermatitis can cause red, itchy, and peeling rashes. While they are less likely to cause significant swelling, severe cases could present with edema.
Allergic Reactions: Allergic contact dermatitis or systemic allergic reactions could cause a rash and swelling, especially if the patient has been exposed to new substances or medications.
Insect Bites or Stings: Multiple bites or stings could cause a similar presentation, especially if there is an allergic component to the reaction.

Necrotizing Fasciitis: A severe, life-threatening infection that requires immediate attention. It can present with swelling, redness, and pain out of proportion to the visible skin findings, and a peeling rash could be a late sign.
Deep Vein Thrombosis (DVT): While DVT typically presents with unilateral swelling, in rare cases, it can be bilateral. The presence of a rash could be coincidental or related to a systemic condition.
Severe Systemic Infections (e.g., Sepsis): Certain infections can cause a rash and widespread swelling as part of a systemic inflammatory response.

Erythema Multiforme: An immune-mediated condition that can cause target-like lesions and peeling rash, often in response to infections or medications.
Stevens-Johnson Syndrome/Toxic Epidermal Necrolysis: Severe skin conditions usually triggered by medications, characterized by widespread skin necrosis and detachment, which could initially present with a peeling rash.
Autoimmune Conditions (e.g., Lupus): Certain autoimmune diseases can cause skin rashes and swelling, though these would typically be part of a broader constellation of symptoms.