Many ranges of drills, such as Makita offer brushless drills. They are a bit more expensive, but will last longer. So probably worth getting if it's going to get a good bit of use. But one with brushes, if used for the occasional DIY project will last a very very long time. I think they all pretty much have Li-ion batteries now and certainly on my Makita the charge lasts if you don't use it for months and if you are using it all day and it runs out, by the time you've made a coffee and drunk it, it'll be ready to go again. Just be careful that some drill offers come without a battery, ideal if you are replacing a worn out or broken drill, but if you get one of those, then you'll have to obviously buy a battery and charger, which will be more than buying a drill, charger and battery kit in a nice case. For most light DIY jobs, a 2.0AH battery will be fine and a 5.0AH will last a good bit longer, but the price goes up steeply.
As you can see above there's a good few to choose from. Screwfix, Toolstation and don't ignore B&Q and even Amazon often have one or two on offer, so have a look around.
Oh, and one more thing. When buying batteries, go for the genuine ones for your drill of choice. Cheaper offerings often lie abut their AH rating and some in the past have been known to start fires.