Bachelors in Civil Engineering then Masters in Mechanical Engineering

Aron:

Hi, I recently graduated with a Bachelors of Science in Civil Engineering and now I want to move to the Mechanical engineering field. To the people out there; what is more convinient for me, a second bachelors or a Masters in mechanical engineering? Most companies that offer internships want undergrad students not graduate students. So if I go for Masters in mechanical it would be much harder to get professional experience.
I would really appreciate an advice from people in the mechanical engineering industry.