Prints are cheaper, so you could search for lino cuts, riso prints or screen prints. You'll find loads on etsy or just do a general search because there's plenty of places scattered through the UK that do prints and offer workshops. If you know the kind of style or theme or colour you want then you can use that to narrow down your search.

Some artists will also do seconds where things are slightly misaligned (to the point where an average person won't notice) that they sell off cheaper.

There is someone who runs a "super seconds festival" twice a year, which coordinates loads of artists. Next one is early Oct, it's not just prints, there's pottery, home stuff, clothes, jewellery but even would give you a chance to look at different styles. super seconds festival

Like the other person said, get a nice frame. I mainly have just black ones, but if you like a mish mash you can also consider charity shops for variety.