What are some home remedies to cure laryngitis?

Gargling. You are not going to cure laryngitis. It is usually viral, occasionally traumatic and sometimes overuse strain. You may find relief of symptoms by gargling with warm saline. Some will add honey to solutions and there are a variety of other home remedies. It will go away in a day or two if you do nothing.
Stop talking. The best cure for laryngitis is to stop talking and hydrate well. Many people try to talk through their hoarseness and this prolongs the larynx inflammation. In addition, lost of fluids and humiditity.