Hi Sam,
if you are attending the Visualising the City workshop in the afternoon, then we will be plotting some twitter data as part of learning QGIS. It will be mega-basic in terms of the GIS but you'll see how to make simple maps. If you aren't attending it, then you can have the notes from the workshop. I will be making them available online afterwards.
As for the best GIS to use, that's a hard question to answer. I use ArcGIS a lot so that's my preferred system and my institute has unlimited licenses so cost is not an issue. That said, we are doing a lot more in R these days since it's just much faster. QGIS is also good but a bit temperamental at times.
Linda