Which one to go for?

@WallFlower26  Sorry for the delay; I didn't get a chance to do a thorough search until now.

Among the laptops you've linked, the first and fourth ones are the same model.  The second one is the best of the group: it has a significantly faster graphics card than the other two, and they all have 16 GB RAM and a 512 GB solid state drive.  The processor in the third option is a bit stronger than the one in the others, but the difference is small, and either one is more than fine for Sims 4.

However, an Nvidia 2060 is overkill for Sims 4; even a 1660 ti is more than is necessary for the game.  Even a 1650 will run all packs together on ultra graphics settings; the only question is whether that will be true for the entire run of the game.  (It will probably be a close call.)  So the biggest decision for you to make is whether you want a 1650 or a 1660  ti, and then you can go from there.

As far as models with a 1650 go, this is the cheapest decent one I saw, at £650.   Its hard drive is small, only 256 GB, but otherwise it's fine.  It does only have 8 GB RAM, but that's enough for the game.

https://www.box.co.uk/7VU82EAABU-HP-Pavilion-Gaming-15-ec0002na_2788807.html

If you want a bigger hard drive, or an Asus, these two are £750 and have the same hardware as each other and the HP above, except they both have a 512 GB SSD.  The first has a 15" screen and the second a 17" screen, both IPS (the highest quality).

https://www.amazon.co.uk/ASUS-FX505DT-Gaming-GeForce-Graphics/dp/B082323L62/

https://www.amazon.co.uk/ASUS-Graphics-R5-3550H-Quad-Core-Processor/dp/B07S41LW71/

If you want an Nvidia 1660 ti, this MSI is the cheapest good option, at £950.  It has a slightly stronger processor than the ones above, and a 512 GB SSD.

https://www.overclockers.co.uk/msi-gf65-nvidia-gtx-1660-ti-8gb-ddr4-15.6-120hz-fhd-i5-9300h-gaming-laptop-lt-2a6-ms.html

This HP, for £1,000, has a much stronger processor than the MSI above, and otherwise the same hardware:

https://www.amazon.co.uk/HP-Pavilion-15-dk0020na-Dedicated-Graphics/dp/B07S45H8DB/

This MSI is £1,050 and has 16 GB RAM plus the same stronger processor as the HP immediately above.  It has a 256 GB SSD and a 1 TB HDD, in case you need the extra storage.

https://www.overclockers.co.uk/msi-gl63-nvidia-gtx-1660-ti-16gb-15.6-fhd-i7-9750h-gaming-laptop-lt-290-ms.html

And just to be clear, an AMD Ryzen 7 3750H processor like in the first two options you found is a bit weaker than an Intel i5-9300H if you look at average benchmarks, and for games as well, but the gap is small.  A Ryzen 5 3550H is a bit weaker than the 3750H.  An Intel i7-9750H is much stronger than any of these.  But Sims 4 will run the same on any of the processors, so it's not necessary to pay more for a stronger one.

If you like a model that has only 8 GB RAM, it's also easy to get a computer shop to add another 8 GB for you.  Memory is cheap right now: a single 8 GB stick might only cost you £40, and you could install it yourself if you felt comfortable.  You'd need to make sure you bought something compatible with your computer, but that's not that difficult either: the manual should list compatible parts, or you could get something identical to what's already installed.

If you have more questions, feel free to ask.