Hi all what is the best cheap laptop for editing videos

Hi...first thing you wanna know is the quality of the footage, if you're using 1080, 4k, then you'd want something more expensive to handle that stuff...personally I'd go for a PC as you can get better stuff for video editing at a much cheaper price.
If you're using old cam stuff like video8, digital 8, minidv you could easily go for a mid range laptop.
Don't bother buying any editing software as there are free alternatives such as Da Vinci Resolve

to be fair, unless it's absolutely ancient, most laptops or desktops could do the job, but slower machines may be laggy or take much longer to render. i've used vegas to make 6 hour long videos that have taken up to 24 hours to render on old machines. if you just want a few things then that may be fine as you just leave the machine running. if you are doing a lot then that may be a pain

what spec machine do you have at the moment?

why do you want a laptop instead of desktop? you could get a cheap refurb that could do the job. you can often get vegas on humble bundle type deals

Get the MacBook air M1. Was a decent one on here for about £650. You won't regret it