So I have 5 badges and I still can't get into the lumiose city boutique, how do you get in?
I have 5 badges and I got in as soon as I found it, though people say you gotta do a bunch of things in Lumiose before you can get in, I did do a lot of things before I ever found it, I did pretty much everything I found. Got a hair restyle and recolor, made a Trainer PR video, worked at the hotel, battled some back alley trainers, talked to Alexa to learn where interesting things are, visited a few cafes, talked to absolutely everyone, visited the museum and most buildings for that matter, just kinda did whatever I found, talked to people looking for TMs, hold items, tips on things or just anything really. Evidently it was enough.
I'm not sure it's nessessarily a few set things, I think it's just do a bunch around town. I know I did not find any 2 star restaraunt that would let me in unless I was famous or "on par with the champion" and I did not groom a furfrou, kinda dislike weird poodley groomed things, looks weird, I like the basic furfrou more. Also, with Prize Money Power lvl 3 and amulet coin, I make around 100k when I visit the Battle Chateau, fighting marquis and marchionesses with so much bonus money, some give like 30k, the gym leader rebattles give out like 30-40k, some only give like 10k, but again this is with prize money lvl 3 and amulet coin, otherwise they usually only give like 10k-15k at most. I had 400k sitting about when I found the place, and that was after buying a bunch of balls and potions and repels, like a TON of them.