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Wiktionary
shop around

vb. (context intransitive English) To actively search and compare options before making a selection or choice of vendor.

Wikipedia
Shop Around

"Shop Around" is a song written by Smokey Robinson and Berry Gordy. It became a popular hit in 1960 when originally recorded by The Miracles, reaching number one on the Billboard R&B chart and number 2 on the Billboard Hot 100 chart. A 1976 cover version by the American husband and wife pop duo Captain & Tennille was also a popular hit, reaching number 4 on the Hot 100 chart, number 4 on the RPM chart in Canada and charting at number one on the Billboard Adult Contemporary chart.