Thanks a lot for taking the time to reply.

I've finally picked up an Anker Ultra Compact Bluetooth Keyboard in the end.

It's absolutely perfect. Feels just like the Apple keyboard. The keys are slightly harder to press but it's a joy to use everyday. It's super slim, and the battery life looks good. I've had it for two weeks and it didn't ask for a charge yet.

The only thing that bugs me is that for some reason, it disconnects for a few seconds every 20 to 25 minutes. It's just three to five seconds, so it doesn't bother me THAT much, but it's a bit weird.