OP, please consider that your instrument will probably last you for a decade or more. At least that's the experience I have with my instruments.
So it makes sense to "invest" a bit, if you can afford it at all.
With that in mind, have you considered a Siglent PSU such as the
SPD3303X-E ?
It is around 300 GBP. You can parallel the 2 outputs for up to 6.4A, or put them in series for up to 64V.
Seems like a very capable power supply, that would probably last you for a while. And having 2 outputs is very useful and it also has a third 2.5/3.3/5V output which is convenient.
There is also the
SPD3303X which is sigificantly more expensive, for a higher resolution reading (1mV/1mA instead of 10mA/10mV on the -E)
Some people have hacked the
SPD3303X-E to become a
SPD3303X. If you are really on a budget, that could be an option...
Rigol also makes the
DP832 for instance, I had one and didn't really like the user interface, but it is an option. More expensive however. Can be hacked too.
You know the saying "poor people pay twice". You are probably going to put 100 GBP in a power supply, and unless you are able to find a bargain (which I hope you do !), you might end up buying another more expensive one in a year or two.
Finally... used instruments are fun... but sometimes it is frustrating to spend more time fixing the instrument itself than working on your projects, especially if it is your primary instrument and you don't have another one. Most of the time you can fix it but sometimes you can't and it's frustrating. Getting a new instrument will ensure that you get an instrument you can rely on. I know this from experience, my very first power supply was faultly. I was a student at the time and got a brand new one for christmas... but it was a cheap one... and it was real crap. Now I could afford an expensive power supply and that's what I did. No regrets. So take a look at these Siglents units