If you are on speaking terms with other residents, I'd ask them what sort of speeds they're getting. That should point to whether a new router is likely to help, or whether you're getting par for the course for where you live.
How can we improve our broadband speeds...........a new router
Sorry to disappoint you but it's not really possible with Sky broadband. The main hurdle is that you won't know your Sky username and password to configure a new router. Sky certainly won't tell you what it is. If you're moderately experienced then you can hack into your Sky router to reveal its username and password.
AFAIK, using your own non-Sky equipment still breaches the Sky terms and conditions that you agreed to so you could get into a bit of bother with Sky.
Another thing you can try is to make sure that your router is secured by wireless key, open the router properties and if it says that the network is open that means that anyone else that is within range of the router signal can also use your Wi-Fi which will significantly reduce your own signal.
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