Finally, I have Internet access again!
We moved house on the 29th, then a few days later we tried to get broadband enabled at the new house. Only problem was that the phone line BT gave us still had broadband registered to it, so all of the ISPs thought we already had broadband and wouldn't let us sign up.
That took them ten working days to disable, and then it took them another ten working days to enable the new broadband (from Sky, because we have terrible TV reception and for £1 more than we were paying for Internet then we get TV, phone and Internet). They were supposed to enable it on Friday, but apparently BT were being slow and Sky recommend giving up to three working days after the estimate so it was finally switched on today.
Over the next few days I'll hopefully be clearing the backlog of submissions to the site. Now I should be back online pretty much as often as I used to be, though.