Hi again.
OK - so that changes things, as an EU citizen you won't need a visa, however, if you are going to be in the Netherlands for more than 4 months, then you have to register with the Town Hall (Gemeentehuis) for your personal registration. You have to make an appointment within 5 days of arrival and the only important thing is that the address where your staying must permit registration from that address; this is not normally a problem, we've heard of people registering from AirBnB and hotel addresses; conversely we've also heard of landlords who don't permit registering as they don't want the Dutch taxman to know - the important thing is to check/ask. Once in the Netherlands, as and when you change your residence, you have to notify the Gemeente and if the new address is still in Holland, then register at the new address. Once registered, you will get your BSN number and be able to open a bank account, register with a doctor/dentist, register your car, sort out local Dutch Medical Insurance (compulsory) and pay your local Gemeente taxes. In case you missed it, this is the process that would allow you to register your car in the Netherlands, you must be registered there to do it.
If you're determined to bring the car, then that shipping cost does not include port charges to get the car out of the dock - when I did it it was circa £400 (including VAT), plus if you're going to register it in the UK, the UK only permits transit from the port to your new address and then a trip to the MOT centre. Assuming it passes, it's then a taxi trip to your local DVLA centre to get your new number and a temporary V5 equivalent, so you can then tax and insure the car, get new plates fitted. When I did this a few years ago, it was very frustrating, to say the least. When you import the car into the UK, you will need a UK address to register it to.
I think I'd import the car into Holland (if that's where you're going to base yourself); 1st, it may be cheaper (the boats normally go to Rotterdam before Felixstowe); 2nd, if you register in the UK, unless your car is like mine and the dip beam can be changed by the car computer, it will likely cost you for at least new headlights. You haven't said how old your car is but if it's over 3 years old it will also have to go through the APK (Algemene Periodieke Keuring); basically the Dutch equivalent of the MOT test before you can register it (same would apply in the UK, or any other EU country); I don't think you'll have any problems with that, but it may well be worthwhile doing some research elsewhere. Whatever, it's going to cost you to ship it to Europe and back again at the end of your stay. 3rd, if you go to any other country for more than 4 months, you will need to re-register again (and again et al).
One other thing that just crossed my mind is that you may also have to also change your driving licence.
Of course - Brexit may totally screw up all this up (except the registering with the Gemeente). I still reckon a hire car will be at least as cheap and far less hassle.