You are at one of the main entry gates post MBA. If you dont take this opp to join Booz you could be waiting a long time for another chance.
The stronger brand of the two, but slightly hampered by a lack of clear identify i.e. just what are they for? Not derogatory remark, but since the split from BAH havent really asserted their distinctiveness in Europe. Alongside OW the strongest of the Tier 2 strat houses.
Strategy heritage now being expanded with more ops work. No idea how strong this has been yet though.
Specialisation is enforced - no generalists at Booz until very senior. You'll get real depth in a niche but you'll be working only in that niche. Limits exit options but makes the ones which do arise very good ones ie SME
Usual review mechanisms. Perform or out.
Stabilised since the split but fared less well through the recession than MBB who went through it more or less intact.
Progression can be rapid. Main bottleneck is at the level below partner so you wont exhaust your run rate too early if you make it long term
No specific entry gates beyond basic hiring criteria, so you could join AlixP anytime rather than be restricted to certain points of your career like a strat house.
Less recognised brand than Booz
Few natural competitors in Europe as priced higher that the insolvency practices of the Big4. Strong reputation but still a bit 'uberBig4'. Dont do strategy - its all execution heavy.
Have historically lost very few people.
Business is up for sale so uncertainty about the acquirer and what will happen but the business is fiercely independent so should be able to maintain this.
VPs at AlixP gain more senior client stakeholder time than Associates at Booz but progression likely to be slower - Directors and Managing Directors at AlixP are heavyweights by any measure - VPs can take time to get up to snuff to position themselves for a Director role, and stagnation at grade is easily possible.
Not specialists - you might sit within an industry or functional area of expertise but will broaden out from this quickly
If you have previous consulting experience I would probably suggest AlixP - if not you really need a big brand on your CV before moving into a specialist house, take Booz.
Exit options are very good from both firms.