It's really up to you and what you think will suit your lifestyle best. Newborns can get a reasonable fit in multi-stage seats, although this is easier in some seats than others and can also depend on your car. In general, infant carriers tend to give a better fit for newborns than multi-stage seats but it's not 100% clear cut - there are some infant carriers which are tricky to get a good fit in, and some multi-stage seats which are better. But if you picked a random infant carrier and a random multi-stage seat, the infant carrier will usually be easier to get a good fit for a newborn (and some of them are excellent).
They soon fit better in any seat from about 6-8 weeks old, so if you're unlikely to use the car much in the first few weeks and have a short journey back from hospital, then arguably the newborn fit doesn't matter too much. OTOH if you'll have a long drive back from hospital, baby is predicted to be early/small, or it's likely you'll need/want to be out and about a lot in the car, then you might want to prioritise having the best possible fit for a newborn. If they don't fit well then the angle the seat has to be for crash safety can affect their breathing, so it's something you want to avoid if possible.
The other thing to bear in mind is weather, babies can't wear bulky outdoor clothing like pramsuits in car seats because it makes the straps too loose, so with the fixed/multi-stage seats you'll have to carry the baby to the car and fit them into the seat while standing there in the hot sun/freezing wind/rain and when they are very little it can take a few mins to get them sorted into the straps and comfy. Whereas with a carry seat you can get them into the seat at home and then set them up with any sunshade, blankets etc (over the top of the straps) and carry the seat to the car and just clip it in. And while you need to bear in mind time limits for them staying in the seat with any kind of seat, it can be more convenient to be able to carry them around in the seat if they are still sleeping. When they are little they often sleep on and off all day, and taking them in and out of things often wakes them up. This just depends on the baby - DS1 we could transfer him anywhere and he wouldn't care. The other thing which is useful about having a carry seat is that before babies can sit/stand on their own, it's helpful to be able to put the seat down on the ground for a moment to use your hands, which you can't easily do when you're holding a baby, and you don't always want to get the pram/pushchair out.
Besafe izi Turn/Twist B, Axkid One+ and Avionaut Stardust are the multi-stage seats which tend to fit newborns best. Joie can be better than some others but aren't quite as good as the others mentioned, although they are budget friendly, so can be a good option if you don't want to spend a lot of money. Avionaut Stardust is more money than Joie but for the amount of time it lasts, the price is very good.
Bear in mind for some of the more premium seats like Besafe/Axkid, if you want to use it from birth (which is usually from 40cm - the 61cm+ seats are for 3/4 months+) you will need to purchase the version which comes with the newborn insert. These newborn inserts are very well made and do usually give an excellent fit, but they are about £100 extra and so for the £100 you could consider buying an infant carrier, the cheaper ones are available for under £100 and do not need to be used with a base. However infant carriers have really increased in price in recent years, especially if you do want a base with it and for the premium models, so I do also see the point of not wanting to spend out on something which will be used for a relatively short period of time. Certainly I personally would not spend £400+ on this stage although a lot of people do.
If you have very sloped seats in your car, and the isofix points are right down low at the join between the seat cushions so the edge of the back seat is higher than the isofix points, this does often tip the child seat backwards which will counteract the recline designed to support newborns and sometimes tips them too far forward so their head falls down which is not good for their breathing. If this is the case then you might find that most of the multistage seats don't work very well. The Besafe/Axkid one probably would, but since they are expensive you might be better off with an infant carrier in that case and then a seat which works well with the sloped vehicle seats, either belt fitted or one with a recline or angle adjustable base.
With some of the newer cars they have started raising the isofix points up to have them more level with the edge of the seat, which is better, and tends to mean you have more choice of seats.
Best thing to do if you can is to find a baby store near you where you can take your car and try out some different seats to see what will work best and what the angle is like etc. They often have a weighted doll which you can try fitting in the different seats, although it's not usually as small as a newborn - if you have a soft-bodied doll or a teddy which fits into a newborn or first size bodysuit, that can give you a rough idea if you take it with you to try the different seats to see if the straps even adjust small enough for this body size. Look on the brand page (e.g. Joie) for stockists and see if there are any independent names, if not, John Lewis or Mamas and Papas tend to be better than other chain stores.