Tenant won't vacate the property

[Mario Rubalcava]

I want to sell my rental house but I currently have tenets. I gave them a 60 day notice to move out the 60 days went by and my tenants say they can't find place to rent. I was told that I can evict them. I want to know what is the process of eviction and if their is any bad that can come from this I don't want make a bigger problem I don't know if she has any special rights since my tenet is a single mother with four children.