Previusly there is a shipping service call local delivery

No, they are different.

check this item:

121232828101.

You can see:

Shipping and handlingEach additional itemToServiceDelivery*
Free shipping
Free
United States
Local Delivery

On or before Thu. May. 08 to 77584 per eBay FAST 'N FREE
US $29.99
US $10.00
United States
One-day Shipping (UPS Next Day Air Saver®)

Estimated by Tue. May. 6
Free Local Pickup
Free
United States
Local Pickup


* Estimated delivery dates include seller's handling time, origin ZIP Code, destination ZIP Code and time of acceptance and will depend on shipping service selected and receipt of cleared payment.