@terziyski Many thanks for your reply, I really appreciate it. If I use the tp-link router as a WAP, will that create a new wi-fi network with a different login, or just "boost" the existing network, which I assume is what will happen?

Many thanks indeed.

  @terziyski Thanks again for your reply. But if it creates a new network, does that not mean that when I go from the house to the office, that my phone will have to connect to the new network, or it might stick to the week signal of the house network and I would have to force it to connect to the network of the WAP?

Many thanks. :-)

  @terziyski Thank you so much for your advice. I guess it also means that the new wireless printer that is coming can't be accessed from the house as it will be on the other network.

Regarless I will go and buy the AX53 now and set that up as the main router, and I am pretty hopeful that will have a strong enough range to reach the studio/office - the specs certianly look good.

Thanks again for your time, I really appreciate it.

Have a great evening.

  @terziyski interestingly, it turns out that the Archer AX 53 has a weaker Wi-Fi signal than the BT Smart hub 2, just posting this in case anyone would find this useful, so I'm using the Archer as a wireless access point instead. Thanks again for your help.

I would second buying another router and using it in AP mode. I can say that if you dont want to buy a expensive router to use as a AP i would highly reccomend the archer c6. I think i payed £35 each for my c6 routers and they was a solid little router. theyve been rehomed to my pals house who has done his set up the same way as i had it at his property and now has 0 dead spots. The wifi range i got on my c6 routers was really impressive.

When i set my network up i had a ax72 as my main router and i had 2 c6 routers set up in AP mode,

One for my top floor as i have a 2 story house and i had another c6 out in my mancave down bottom of my garden ( about 15m from my main router) and i could pick the wifi signal up from the c6 at the front of my house.

I could move around my house and when i went down to my man cave i had wifi where ever i went in my property, The router if you choose to by a router and put it into AP mode in your outhouse you should get the same speeds that you get at your main router.

I would advise as said above to use the same ssid and password as your main router that way you should be able to roam between routers and your device should then switch over to the stronger signal. 

It is dependent on each device so you may have to turn your wifi on and off some times