Something like this will keep Sims 4, on medium settings, over 30FPS at 1080p.
Keep an eye out for offers on similar laptops during Black Friday. Any laptop with a 6th or 7th generation Intel processor (the model number will be six or seven thousand and something) will do the job.
Should be more than good enough, here's a video of someone running Sims 4 at 1080p Medium settings on a 6th gen i7 and getting 30fps out of it.
The laptop you posted a link to should have better graphics part to the processor and has a lower resolution screen. It should be fine.
Like I said though, that one that's going to be £199 on Black Friday would probably be ok too.
EDIT - If you are interested in what you might get out of that laptop do a search on YouTube for videos, seems like it'll play a fair amount of stuff but anything too taxing (Witcher 3 for example) is probably not going to be playable.