pitch the woo
1. old-fashioned To court or seek the affection of someone through romantic gestures or overtures. He lingered at the bar pitching the woo to a woman from England. I hate this so-called holiday. Just an excuse for couple to pitch the woo in public and make us single folk feel like dirt.
2. To seek the attention or favor of someone, especially through entreaties, promises, or other such inducements. The candidate went up and down the country pitching the woo to clinch an unlikely election victory.