Questions about printers come up here often and, without a doubt, the most frequently praised brand is Canon. PC World currently have a couple of their models on offer for just £29.99 but they both use a single cartridge for coloured inks, which can work out expensive. A far better option would be the Pixma MG5750, at £49.99, which uses separate cartridges for each ink colour:
https://www.pcworld.co.uk/gbuk/computing-accessories/printers-scanners-and-ink/printers/canon-pixma-mg5750-all-in-one-wireless-inkjet-printer-10143745-pdt.html
(That's actually the updated version of the MG5350, which is what I use myself).
You can buy a full set of all 5 (compatible) ink cartridges for it around £20 online.
A few general points:
1. Somewhat oddly, standalone printers (without scanners built into them) tend to be considerably more expensive than their all-in-one counterparts. (It's probably to do with production volumes). So it's probably best to go for an all-in-one model even though you don't need its additional functions. [That assumes that you'll be buying an inkjet printer].
2. I note Alavahalf's suggestion, above, about opting for a mono laser printer. I would have gone along with it you'd not mentioned printing 'the occasional photo'. However I'd have suggested this model (also from Brother), which is inexpensive to run, well-reviewed and cheap:
https://www.pcworld.co.uk/gbuk/computing-accessories/printers-scanners-and-ink/printers/brother-hl1212w-monochrome-wireless-laser-printer-10028088-pdt.html
(Note that part of the reason retailers are offering it so cheaply is probably that it doesn't come with software for Windows 10. However you can download it from here:
http://support.brother.com/g/b/downloadtop.aspx?c=gb&lang=en&prod=hl1212w_us_eu )
3. You can never rely on being able to buy ink cartridges on the High Street for
any model. Manufacturers tend to ensure that each of their models uses different cartridges to all of their other models, meaning that there are probably thousands of different cartridges now in use. High Street retailers tend to only stock a small range of cartridges for the most popular models and, as those printers are withdrawn from sale (which happens frequently), they cease stocking them. They also tend to charge far more than online suppliers do.
Just a final thought though:
If your need to print photos is only a very occasional one, it might be worth considering the purchase of a mono laser printer for your documents and then using the services of a photo-processing shop to obtain your prints.