I have a David Clark H10-13.4, a very good headset indeed and it will last. It might be worth extending your budget a little if you can.
You can also buy cotton ear covers for the gel ear seals for around £4 a pair, this makes them even more comfortable.
If you're buying second hand, try to look for one with the newer style larger head pad, if not you can always buy one of these separately for around £37 (just had a look at Transair). Although this does push the price up a bit.
As said earlier, you should be able to pick up a good used H10-13.4 for around £150 (maybe a little less).
Congratulations on getting your PPL
I started flying with this same headset (DC H10-13.4) in 1992 and it has performed flawless over the years. Truly worth the investment. As suggested, try to buy a used one and replace the earcups with gel ones. You may also want to replace the microphone muff for hygenic reasons. Great headset. I recently upgraded to a DC H10-13X ANR headset. I bought two of these shortly before they introduced the X11. Love every minute of ANR listening. Switching on the ANR function takes all the low rumble away and creates a far less fatiguing cockpit enviroment. It really works and my experience is such that I am now much less tired after flying. You may want to take a close look at your aircraft and its systems. Critics say that an ANR headset may dampen oral warning signals and hints from the engine on its wellbeing. My airplane is an experimental without audible warning signals and a great engine monotoring system so these restrictions play no role for me.... And no, I'm not selling my H10-13.4, I'm keeping it as a back-up.
Good luck !