• EU and EEA citizens are exempt from requirements concerning visas, passports and medical checks when entering another EU Member State.
  
• An identity card allows the holder to enter freely and to move around for three months, which is useful if you find temporary work or are seeking employment.

      EU and EEA citizens do not need a work permit.

• More: http://ec.europa.eu/youreurope/nav/en/citizens/working/free-circulation/index.html#2429_1
• Ask your new employer for advice or help.