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It's all a bit budget dependent. If you got a big powerful combi drill like the Milwaukee one Konstab posted, that'll be more than enough for most home jobs. But it's quite an outlay if it's not going to get used much. However, a decent battery combi drill and impact driver will make so many jobs so much easier/more pleasant. It all kind of depends how much of each thing you're going to do (and how much you're happy to spend).
https://www.screwfix.com/p/erbauer-erh750-3-4kg-electric-sds-plus-drill-220-240v/232fv
That will do all you need, and has a hammer only function which is always useful. Erbauer is a Screwfix brand so if it breaks it's easily replaced, and it's at the cheaper end of the scale.
A Bosch or Makita will be around £100-140.A bit of an outlay, and you can always shop around etc, but it also gets you onto the Milwaukee battery platform which has a ridiculous selection of tools. And both the drill and impact driver will last forever, especially if just for DIY use.
The one caveat is that if you do go for upgrading your combidrill, you may still find certain jobs where having a dedicated SDS is much more preferential. But again, this is down to the scope of what you intend to do.
So, crumbly brick is always a pain to work with - that is unavoidable in this instance. However, a better powered drill motor, with a much heavier duty hammering action will be easier to use.
I'm assuming that when using your green Bosch, you're having to rag it quite hard to drill your holes, which won't help with the quality of hole you end up with. Instead with a dedicated SDS, you'll use it much more gingerly, and with new bits the whole drilling procedure is likely to go smoother.
I've got a half decent Makita combi drill, but I'd never use it for masonry if I have any kinda of access to an SDS drill.