You need to call the DMV rather than asking here. I did the same as you before buying my bucket a few months ago, and I got a lot of misinformation online (different forum). When I finally called the DMV here in Texas, I discovered that the process and options are much more complex than I had been told. Not only that, the first person I spoke with at DMV was apparently not familiar with assembled vehicle registration and gave me totally wrong information.
As it turned out, there's an initial safety inspection/VIN confirmation required before the transfer, and the items they check will vary a lot depending on whether the out-of-state title shows it to be an original (like a '23 Ford) or a later model assembled vehicle. Then, during the transfer, the buyer can select several types of titles, depending again on how the vehicle is identified by the existing title. In Texas, if you title it as an antique, it can't be driven daily to work, only to shows and for maintenance purposes. Antique registration also only requires attaching a single license plate and does away with annual safety inspections. The car can also be licensed as a "Street Rod" if it's a later model replica of an early car, or simply as a standard vehicle. Even titled as a standard vehicle - which is what I elected - annual safety inspection varies depending on whether the title identifies it as an original early vehicle.
One thing that really threw me is that the rules state you don't need to have the vehicle listed on your insurance card for purposes of the transfer. You only need to have any other vehicle listed, and the card must be valid for at least another thirty days. That's because Texas law requires the insurance company to cover a newly purchased vehicle for 30 days, regardless of whether you call to add it to the policy. The rub is that the inspection stations won't honor that, they require you to present a card that shows the specific vehicle you're inspecting. So, even though the law says you can transfer the vehicle without it being listed, the initial inspection/VIN confirmation that is required for the transfer can't be done. Grrr...
Anyway, I don't know if it's all this complicated in Deleware, but you need to call or thoroughly research the DMV sites to find out.
Jack