Anyone any experience of rigging something like this up to a low power laptop/server and then 'harvesting' the logged data in real time and posting it to a website or something?
You might consider
Meteohub or for even lower power[1] (and less up-front cost)
Meteoplug.
Either will work with a host of weather stations including the Fine Offset Electronics/Watson that the Maplin links probably point to.
I'm a long term Meteohub user, logging to an ALIX-1D, and I also have a Bifferboard based Meteoplug because I helped with pre-release testing.
[1] I find 1W a bit of an exaggeration. When talking to ethernet and with a USB connection active I find my Bifferboard uses a bit over 2W - but that is still pretty impressive!