I have just started using the Brooklyn theme. The menu items at the top seem to be right justified and the icon is on the left. I would like my menu items to be centered between the left icon and the right login icon.
It would require Liquid/CSS knowledge to implement this feature, I'm afraid that unfortunately there is no simple copy-paste solution otherwise I'd happily guide you through.
In case you're unfamiliar with these technologies you'll likely want to hire a Shopify developer to assist you.