Eye puffiness can be from multiple causes including thyroid disorders and age however a chronic problem with nasal congestion and sinus drainage can lead to difficulty with the lymphatic drainage around the eyes. This can lead to puffiness of the eyes. Medical treatment of any underlying allergies can help reduce puffiness. Sinus surgery and balloon sinuplasty can help reduce puffiness around the eyes if the cause of the puffiness is related to sinus inflammation.
The lid swelling may improve particularly if there is chronic maxillary sinusitis. If you have allergy affecting your eyes then the surgery may not and emphasis on allergy management is paramount. If the lower lid swelling is from herniation of the lower lid fat pads then lower lid surgery is required. One way to tell is to look into a mirror while your eyes are looking upward. If the lid fullness worsens then the fat pads are a factor.