It's a standard rollover you are looking for unless you want to cash out and pay penalties. If you plan to rollover, just call the service provider of your old 401k and request the forms. Then you can roll into current 401k or IRA. If you want to cash out, same process, call the service provider.
You are only due the vested portion of the balance. Typically when someone leaves without fully vesting, they will show the entire balance even though only the vested portion is due. Then when you roll the money out, they only send the vested portion. Most administrators record it that way because it's easier to manage (I used to work in this world). If you ever go back to that company and the plan allows for reinstatement, they would put the unvested portion back into your account once you vest.