Take a look here for some ideas:
(Not endorsing Maplin, it's a good starting point to get some ideas of what's available and the prices of new equipment).
Something like this is a good starting point:
Even basic scanners will have what you are looking for in terms of coverage and modes as pretty much all have some VHF (for airband, marine comms, 2m amateur coverage, some services etc.) and some UHF (for taxis etc, amateurs, services).
Note that listening to the ISS is almost a craft in itself and is not just a matter of turning on the radio. You need to know when it's overhead (as you only have a window of a few minutes to hear it) and you'd need to know when they are planning to use 2m (the 145MHz frequency you see on the video is an amateur band, general unofficial comms, not official comms). You'd be advised to get some sort of base aerial setup for that also rather than relying on the built-in aerial on the scanner (which would be hit and miss). Best thing to do would be to keep an eye on amateur websites to get a picture of when ISS would be active on 2m.
Imo the antenna is the most important part of a scanner setup. Expect to be a bit disappointed if you rely on the built in aerial. I'd recommend that you try to get setup with a scanner antenna that you can put outside up high (at best) or in a clear space in the attic (as a compromise). It really opens the scanner up when you have a good aerial and you'll hear so much more. Something like these would improve the performance no end:
As for where to buy, well you have Maplin and also take a read of this post for some other ideas:
Try eBay as well, you might be able to pick up a good second hand set (just be careful though to buy from a reputable seller).