The fixed ones (which can spin) which last for a few years don't go onto a pram.
You can get some rotating (~12m) car seats which are compatible with the Uppababy - Cybex Cloud T or G, Britax Baby-safe 5Z, Joie i-Level, Nuna Pipa next/Arra next, Besafe Go Beyond, Maxi Cosi Pebble 360.
But - what I would say is that IME, the rotation feature isn't hugely necessary for an infant carrier, which is the type that last around a year. And it tends to add a huge cost on top which IMO isn't worth it.
Rotation is helpful for the toddler stage, when the seat is fixed in place in the car. But for the infant seats, you will usually bring the seat into your house and then it is totally free to move wherever you like. You have enough space and time to put the baby in at your leisure and then you simply carry the seat to the car and strap it in with the seatbelt, or click it into a base. The base is usually fixed into the car using isofix, which are little metal clips - all cars since 2013 have had this and most older cars as well as long as they aren't 20+ years old.
Infant seat bases may have rotation. But unless you think you'll leave the seat in the car 90% of the time, this is not really necessary.
Are you in a European country, BTW? Or somewhere else which uses the EU/ECE norm? Some countries like NZ or the middle east have multiple safety standard approvals so you can also get US-certified seats for example.
So the second thing you'll find is that if you go into a baby equipment type store and get shown seats, is that a lot of the rotating baby seat bases advertise that they also take the next stage up. But in most cases, this is a false economy, because you can just buy the next stage up seat with the rotation isofix base already attached for less money than it costs to buy the rotating base + toddler seat combo. One notable exception is the Besafe Beyond series - that is the only rotating toddler seat which goes up to 125cm (which is about 6/7 years) - all other rotating toddler seats go up to 105cm (which is about 3/4 years). If that's something you want long-term, you'll save money by starting out with that baby seat. But the whole set is very expensive, at least it is in both the UK and Germany, not sure about other countries.
You'll have to look at what's available near you, but personally my preference is a cheaper, basic infant carrier like Britax Baby-safe Core or Cybex Aton and then change to a rotating 0-4 years seat later. Or some people prefer to change to an extended rear facing seat up to approx 7 years.
If you're looking for a rotating seat from birth my personal favourite is Besafe izi Turn or izi Twist, make sure to get the "B" version which means it comes with newborn insert. This is especially worth it if your car has sloping back seats. Or the Recaro "elite" ones can be good if you can get those. I don't like the Maxi Cosi Mica seats from birth because the newborn insert is so big and bulky that when it is removed, babies in the in-between stage roughly 3-9 months, tend to look a bit lost in the seat. Britax might be good - I am not sure what the newborn insert is like. Joie i-Spin 360 is OK as well, and a good budget pick but a bit complicated with all the inserts.
You could also look at ERF seats from birth - Axkid One (the "plus" version means from birth) or Besafe Stretch (again "B" version) or Avionaut Sky. Avionaut are based in Poland so are cheaper/more widely available near there. No rotation in these, but worth searching for a local stockist to see if that matters. Sometimes it doesn't.