You don't want to work for a consulting company (i.e Accenture, KPMG etc), you want to be a consultant. For the first type of role, you're essentially hired he

You don't want to work for a consulting company (i.e Accenture, KPMG etc), you want to be a consultant. For the first type of role, you're essentially hired help to solve non-technical problems in broken well-capitalised businesses, whereas in the second you're hired individually for your own skills. The second type are normally much more flexible with respect to remote and lack of travelling.