御食い初め[okuizome] weaning ceremony
為初め[shisome] outset
為初める[shisomeru] to begin to do
仮初[karisome] temporary
業界初[gyoukaihatsu] the industry's first ...

月初め[tsukihajime] beginning of month
最初[saisho] beginning
初めに[hajimeni] to begin with (used as an introduction)
初めは[hajimeha] at first
手初めに[tehajimeni] at first

歓心を買う[kanshinwokau] to win favour
競争売買[kyousoubaibai] auction
故買[kobai] buying stolen goods
購買[koubai] procurement
購買力[koubairyoku] buying power

思惑買い[omowakugai] speculative buying
衝動買い[shoudougai] impulsive buying
人身売買[jinshinbaibai] slave trade
人買い[hitokai] slave traffic
青田買い[aotagai] speculatively buying a rice harvest, while the fields are still green