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It depends on your home address from a service/delivery center. My first Tesla I only could do home delivery. The second one I currently have on order will be picking up at a local service center as I live outside the home delivery range now that I moved.
I think the home/service center delivery is based on your local SC and distance plus how many other cars are expected etc etc.
There are three service centers in my area, or will be by the time my car is due, but at order time I chose home delivery but was switched to service center. All the cars run through the service center anyway before delivery.
My Model 3 was delivered at the (then only) service center and I've helped out with the local owners club at two end of quarter delivery events at the same service center. Personally helped lots of new owners learn about their cars