Hello, I think it won't be easy the flat thing, a room in a shared flat could be around 300€/month, depending on how big and where it's situated, anyway it's not easy to find something, and March is not the best month to look for. There are a lot of threads about flats, have a look at them.
About the weather March is a month when it can be cold or warm, you never now, you can have both in less than a week, depending on the winds, high pressures,...