[Bozza]

When I did my solo trip I booked flights in the morning to fly the very same day. I phoned up Disney UK when I got to Gatwick but they were unable to help me, and I had to call Disney US when they opened up at 8am EST (1pm UK) which I did, booking Coronado Springs for my stay.

On our last family trip, we decided to go to WDW when we were at Universal the night before. Again, I just called Disney direct and booked. We were checking in about 13 hours later.

So, I'd suggest calling Disney!

Edit: just seen you're not going for 2.5 weeks, so not really short notice. You should just be able to use all the usual booking sites - Expedia, Virgin Holidays (hotel only), Booking.com and Disney's own site (try the US site as well as UK in case there are specific deals on).