I think my Hantek 2C42 is border line valid as a DMM but it does fit your budget - you get an oscilloscope to boot.
Can't comment on much on the previous suggestions (Uni-T, BM235, used Fluke 87V, BM235, Fluke 17B, UT61E, Aneng 8008/8009/870, BM257, Fluke 101, used Gossen Metrawatt et al) other than a quality DMM appears to be at least a long lasting product, in my experience.
The Gossen Metrawatt falls within the budget, the Hantek 2C42 costs 168 €
I own a pair of older Gossen meters, a MetraHit 14 and a MetraHit 25. They are incredibly well built, safe, and high quality. I assume without having seen them in reality that the Gossen Metraline DM61 is going to be at least approaching that. If you buy one, my impression is they'll serve you well. Much more so than Aneng or Uni-T. Brymen might beat them on features, but I'll take dependability over features any day.
Why? See, 85% at least of the measurements one makes, in my experience, are measurements that will not challenge your instrument in terms of resolution, range or precision, but you still need to be reasonably certain that they're right; that what you see at first look is a correct measurement. Quality instruments like Fluke and Gossen will give that. (And probably Brymen too, but I have no experience so can't tell.)
My experience with even the cheaper instruments from quality manufacturers is that the longevity and quality will be inherited down from the expensive ones. I have what was the cheapest Fluke ever when introduced, a model 10. I've had it for 28 years, and never done anything to it except swapping batteries. It still is dead accurate well within its limits. That is dependability. That is what you want. I trust Gossen will deliver at similar levels.