@newcitysims A 128 GB SSD is fine for Windows. And an i5-8300H is above the recommended specs according to EA by a significant amount; players also report it handles the game quite well.
However, the graphics card is worth upgrading. An Nvidia 1050 ti is a decent card, but it may not run Sims 4 on ultra graphics settings for the entire duration of the game. And if you own most or all packs, you wouldn't see framerates anything like the 144 Hz refresh rate of the Acer's monitor.
Besides, for £1,000, you could do a lot better. A 1650 is a couple years newer, and somewhat faster. Much faster than that is the 1660 ti, which you can usually get in laptops in your price range. For example, it took me about two minutes to find these, at £950 and £1,000, respectively:
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
https://www.overclockers.co.uk/lenovo-legion-y540-15irh-nvidia-gtx-1660-ti-8gb-15.6-fhd-ips-144hz-intel-i5-9300h-gaming-laptop-lt-006-lv.html
Aside from brand, the only major difference is that the MSI has a single 512 GB SSD, and the Lenovo has a 256 GB SSD/1 TB HDD combination. If you need a lot of storage for data (music, photos, movies, etc.), or if you want to install a significant number of other games, you might benefit from the extra space. But 512 GB is enough for most people.
There are plenty of other options out there, depending on exactly what you want. The prices will be about the same though.
P.S. Among the desktops you initially linked, the first one is actually a decent gaming machine, not an all-in-one. Its performance would likely be equal to or perhaps a bit greater than the two laptops I linked—while its graphics card is a shade slower than the 1660 ti, it has a better processor, twice the memory, and almost certainly a more powerful cooling system.
