Moving to Tallinn, any tip appreciated!

Hello eesti! Me and my gf are moving from south Italy seeking for work, we have still to find an apartment for rent. I have tons of question, but anything related could help our moving. Thanks in advance!

Edit: you have been awesome, everyone. We made notes of everything you said guys and it really mean so much to us. We also enjoyed the sociology drama: it gave us some local hot topics and hints! Thanks again!!