Moving from lower MM Boutique to Big 4 M&A advisory

I have 3 years of experience (associate year 1) in a lower MM boutique (Europe based) and considering making a move to one of the big four (M&A - Corporate Finance) firms. At my current job, I get tons of responsibility in deal execution from which I learned a lot. However, there are a few aspects that motivate me to make a potential move to big 4: far better training programs (current training offerings are poor), larger deals & more PE exposure, opportunities to go abroad and a well-known name.

Eventually, I am considering making a move to PE, stay in M&A or start my own business. Any thoughts /advice?