Accommodation
General
Most places in south or central areas of Edinburgh are convenient for the Marathon venue. Edinburgh is also a safe city, so it's fine to walk around the city centre at night, although the Grassmarket/Cowgate and Tollcross areas can be quite busy with pubs and clubs, especially at weekends.
Hotels
This list of recommended hotels published for EMNLP is a useful starting point for accommodation in Edinburgh. The MTM will be held in the same location as the EMNLP workshops
Bed and Breakfasts
There are many bed and breakfasts in central Edinburgh. This page from the Scottish tourist board will help you search. There are clusters in Newington, and in Gilmore Place, which are convenient for the MTM venue.
Hostels
There are several hostels in Edinburgh's old town, offering the cheapest accommodation. Try this list