My heart goes out to you. You are right you need to get out. Social services can help you until your episode passes. Your mom sounds fed up and I hope for her sake she shuts her damn mouth in the meantime. Suicide is NOT your only option and no you shouldn't do it. Try other options. Mental health clinics, hospital, social services. This is being thrown on you but I promise life gets better on your own.

Can you sit down with your parents and discuss how you can amicably handle the pets? Like they care for them until you are settled? Or possibly a friend or other family? One thing at a time ok? People move out on their own all the time and I think you can do it too!!