To initiate the process of buying, there are multiple synonyms for the phrase "start the purchase of." One option is "initiate the acquisition," implying the beginning of obtaining something. Another alternative is "commence the procurement," which signifies the start of obtaining a particular product or service. One can also use "launch the buying process," indicating the start of a more extended purchasing procedure. One may also say "set in motion the purchase" or "kick-start the procurement process" to convey initiating or starting to acquire something. These synonyms provide individuals with alternative ways to express their intention to begin the purchasing process.