@cece19088 If £430 is doable, this one would be an excellent option. It should be able to run all Sims 4 packs together on medium graphics settings, and it has enough storage for the entire game and all associated content:
https://www.currys.co.uk/gbuk/computing/laptops/laptops/lenovo-ideapad-3-15-6-laptop-amd-ryzen-5-256-gb-ssd-black-10212790-pdt.html
I saw a number of similar options for a slightly higher price, e.g. these:
https://www.box.co.uk/M413DA-EB005T-ASUS-VivoBook-14-AMD-Ryzen-5-8GB-RAM-256_3554013.html
https://www.argos.co.uk/product/9414934?clickPR=plp:46:60
https://www.argos.co.uk/product/8483935?clickPR=plp:51:60
https://www.laptopsdirect.co.uk/asus-amd-ryzen-5-3500u-8gb-256gb-ssd-14-inch-windows-10-laptop-m415da-ek027t/version.asp
There isn't much meaningful difference among them, and the Lenovo's only real drawback is its screen isn't great. The first Asus above has a very good screen for this class of laptop; the other product pages don't specify, but if you're curious, let me know and I'll try to find specs elsewhere.
If you'd rather stay closer to £400, these have a processor that's slower, with a slower graphics chip as well, but they'll still be able to run all packs:
https://www.laptopoutlet.co.uk/lenovo-v14-ada-14-full-hd-laptop-amd-ryzen-3-3250u-8gb-ram-256gb-ssd-windows-10-home-grey-82c6006cuk.html
https://www.box.co.uk/M509DA-BQ912T-ASUS-AMD-Ryzen-3-8GB-RAM-256GB-SSD-15.6_3062613.html
The second one has the same quality screen as the more expensive Asus; the other site doesn't list the screen quality. But again, I'm happy to find the specs if you're curious.
If you have more questions, please feel free to ask.