@yelyaaah There aren't a lot of laptops in this class with a 1 TB solid state drive, and it looks like you found two of the best options. The first one you listed is a little faster than the second, but not so much that getting the second is a bad idea. If you're comfortable getting a refurbished laptop, the first option is a very good choice, and you won't do any better for less than £600. This class of laptop should run all Sims 4 packs together on medium-high or high graphics settings; ultra settings might be possible depending on your playstyle and which packs you install.
Since you asked for other options though, you could get a new laptop with the same specs as the refurbished one for £550:
https://www.argos.co.uk/product/5253498?clickPR=plp:6:38
You could upgrade the processor for another £50:
https://www.argos.co.uk/product/9554344?clickPR=plp:9:38
https://www.argos.co.uk/product/4563639?clickPR=plp:10:38
(These two are almost the same but have slightly different shapes and weights.) I'm not saying you need the upgrade or to buy a new laptop, just that you could if you wanted.
One other possibility to consider is a gaming laptop that doesn't look like one. In addition to a much faster graphics card, one that could run all Sims 4 content together on ultra settings with some room to spare, this has 16 GB RAM, which is nice to have for multitasking purposes if not strictly necessary.
https://www.box.co.uk/82L500DQUK-Lenovo-ideaPad-5-Pro-AMD-Ryzen-7-16GB-RA_3822865.html
It doesn't come with an OS, but installing Windows is trivial and only takes a few minutes. You might be able to find an old Windows 10 key for relatively cheap, particularly if it comes with a very old install medium you wouldn't want to use. (For example, I found one from 2017 a while back.) Since you only need the key and could make the install medium yourself with a spare USB stick, it doesn't matter how old the product is.
If you have more questions, please feel free to ask.