I live in CA (disclaimer, yes Dems have crushed our state) and been through the out of state new, and used, vehicle reg process many times.
I found it's best to travel and view it, then drive home. Get your shipping quote first. Example: Intercity charges double because full size trucks (Raptor) take up more space than a Porsche. You'll probably get the best deal (and chance of damage occurring) on open (not enclosed) transport.
When you register you'll need to:
1. First go to an industrial scale (our local landscape supply has one) and weigh it / get a print out
2. Show you paid sales tax there or pay it here
3. Pay for registration
4. Show the DMV the sticker under the hood that says 50 state compliance
note 1: I have not been required to get a brake and light
note 2: If you're paying cash, get the certificate of origin from the dealer - DMV will need this
note 3: If financing, then dealer may record the sale and Fedex the paperwork to your DMV with CA reg already started
DM me if you need more detail