TabEx is an extension for Brackets that allows the user to exit (), {}, or [] by pressing the tab key. TabEx is especially usefull when autocomplete is turned on. TabEx will only "jump" outside of (), {}, or [] when the cursor is positioned within those characters, and will place the cursor after the inner-most nested pair. Press tab again to "jump" out of the next pair.
Load through Brackets Extension Manager.
To start using TabEx, select Use TabEx from the Navigation menu or press Ctrl-Shift-X. Repeat this process to turn TabEx off and use the editor in normal mode.