I would highly recommend Edgars' apartment for those who plan their trip to Riga. It's clean and very spacious, in the old but beautiful building. Everything what is needed - supermarkets, cafes etc. - is nearby. Central railway station as well as bus station are in 10-15 min walking distance. The same is for the Old Town.
Edgars himself is a great host. He explained how to get to his place in advance, and met us downstairs when we arrived. Edgars is also a very attentive host, and won't let you be on your own if you have any question.