Every consulting firm is unique. If you are interested in working in consulting, the available options include working for the typical strategy consultancies, more specialized boutique consulting firms, or for the so-called inhouse consultancies which are basically internal consulting firms of big companies.
The big players in strategy consulting know how to set the tone by means of branding, demanding projects, internationality, and last but not least through attractive salaries. Boutique consultancies have the advantage that consultants may work in their favorite field in order to evolve into specialists. Inhouse consultancies are becoming more and more important for the job market, since employees are looking for more promising work-life-balance properties in their employers. Moreover, you'll be able to do your own networking in a big firm, and therefore lay a solid foundation for the transition into the later stages of your career.