What size SSD and processor are you after and what budget?
You'll probably think I'm wanting the moon on a stick, but for me I want an i5 (7th or 8th gen) with at least 128gb SSD. Top budget £350. It'd ideally have 8gb ram, too, but this hoiks the price.
For the other, an i3, again ideally with SSD but not absolutely necessary. Target budget £250 but can go up a bit (CurrysPCWorld have a Lenovo with 6th gen i3 and HDD for £280)
I've found out that HP are doing a trade-in when buying certain laptops. Laptop Direct have HP ProBooks with 256gb SSD, down to £304 (i3) and £334 (i5) - although I suspect after reading the full T&C's on the HP site that LD have got that wrong, and the trade-in cashback would be £50 less for each with the laptops I'd have to trade-in.
I also know about a site that does a mix of graded and 'open box' stock, and they have amazing deals, but they go super-fast and they've nothing in stock apparently right now (hmmm...). Looked at a HP 250 G6 with i5, 256gb SSD, 8gb ram for £249, but it'd gone by the time I decided to buy it.