Hi
Wi-Fi range is restricted by laws that limit the maximum power output, so new hardware is still limited in the same way, and it is the power output that decides range over and above anything else. Also what people forget is the device at the other end is just a Wi-Fi access point as well acting as a single client, and changing one end doesn't magically make the devices on the other end better transmitters or receivers.
True people will change hardware and sometimes find range seems improved, but this is mostly down to either replacing very old hardware or devices that have degraded due to age, or the new device radiates it's signal differently that happens to favour a persons environment and set up, but that will vary for everyone.
Now a question, where is your TV antenna? Your nearest cell tower, they will have the electronics on the ground, but where is the antenna? In public buildings with Wi-Fi, where will you find them installed?
With a 3 bed house you will easily get full coverage and more by doing what all the professionals do, mount the transmitter/receiver in the best location and typically that means central to the coverage area and adding height. Where is your router now? I'm guessing probably downstairs towards the side of the house where the phone socket is, with a good chunk of signal being absorbed by the external wall.
If you can, get a ceiling mounted access point put up on the landing ceiling of your house and you will miraculously find all coverage issues resolved and speeds improved everywhere, probably costing you less money than the new box. Access points can be powered over Ethernet now so you don't even need power in the loft, and once done you can easily upgrade the access point in the future. The irony is we will pay a professional installer (or go the extra effort ourselves) to put up a satellite dish or TV aerial on the roof to get the best reception, but now more and more we shun broadcast TV and are watching things on our devices over broadband, yet we just don't make any effort to get kit installed properly.
Regards
Phil