As an EU national, you're entitled to work — for an employer or as a self-employed person — in any EU country without needing a work permit.
The EU provides common rules to protect your social security rights when moving within Europe (EU 27 + Iceland, Liechtenstein, Norway and Switzerland)
Find out if your profession is regulated in the EU country you are moving to
Find information on unemployment benefit in another EU country, employment in another EU country, facilities for persons with disabilities, qualifications, annual leave, maternity leave, etc.