Makita are popular for a reason. I've got two and they just work. To an extent, they will drill into concrete, but you are wise to keep your corded drill for the heavier stuff. Which model (and they, like other manufacturers do ring the changes frequently, upping the power output a tad and so on) depends on what you're going to use it for and how often. A brushless one will last longer but cost more. But the non-brushless ones are quite good enough for a normal DIY-er. You can buy the drill itself without a box and without a battery quite cheaply. Obviously you then need a charger and you can choose the battery of choice. But again, even the smaller batteries AH-wise last a reasonable time before charging is needed and even then, have a cuppa and a couple of biscuits and it'll be ready to go again. So anyway, probably the cheapest way to go initially is to buy a complete drill set, including charger and battery. You can then add another battery of choice later if you need one.
One thing about batteries: Obviously you can get genuine Makita ones which are good. There's cheaper ones though, but by all accounts they're a bit of a lottery. Some are okay, some fail after five minutes but all tend not to have the AH potential they claim.
nick.308 makes a good point about the drill and driver sets. The impact drivers seriously punch above their weight.