Hi, everyone! Good luck @Traveler with a new job! In my previous IT company I work 6 months in NYC and during those period
we had two movings 
Because of time optimization I'm sure that
you've made right decision to move to Brooklyn. It will make your life much easier.
As for the moving, I know that it's just an additional stress, but you'll survive

First of all, you have to plan the moving thoughtfully and you can expect fine outcome. Take your time and ask your friends and family to help you out with this, because moving is all but easy.
In case you cannot arrange the moving process by yourself, you can ask for professional help. At least here in New York you can choose the moving company according to your standards and possibilities. They can give you
tips about packing and unpacking. Even if you have some difficulties with cumbersome pieces of furniture, movers can help you with packing. We use
http://dumbomoving.com/ services and I got good grades on their efficiency.
But, let me give you a friendly advise - make sure to lock your pet (if you have one) in the bathroom or in some safe place. Pets can become very aggressive in the middle of all that chaos. By placing them in the bathroom, you will allow movers do their job smoothly.
Also, if you have children, take good care of them, because there are lots of ways to injure themselves while moving. The best solution would be to ask some friends or family to look after them.
Once you get to Brooklyn, you'll adore it for sure. It's only a meter of time.
Let us know your first impression

How does it feel to live in a different part of NYC?