coordinated = ?

In this context it means being able to use your hands and eyes to put things together. Someone with excellent coordination would be good at hitting a baseball or assembling small parts. In a larger sense, it means making things or people work together through planning.

Excellent!

Does "or you could hire another postdoc" mean "or else you have to hire another postdoc"?

A better, simpler word for "not coordinated" is clumsy.

". . . or you could hire another postdoc." It means the person who keeps breaking things because of poor coordination might be replaced by another postdoc with better coordination.

A postdoc is a person who has received a doctor's degree in something, but is continuing his or her education.

Thanks.
But it somehow adds to confusion. The context says "And you, you’re not so coordinated. Nope. Not so much." So you have to pay the price for breaking something (valuable or not so valuable) to pieces. For this clumsiness, you decide to step to the firing line (to fire yourself) and hire another guy (who's a postdoc)?

It sounds first "you're just an economically pinched postdoc" (you broke the property of your boss), and then "you are the boss"(because you have the money to hire another guy to work for you)? So the situation is confused.