(Note: the following post contains affiliate links, so I may make a small % for any purchases made through these links)
The biggest mistake people make when opening a bottle of wine is using a winged corkscrew instead of a wine key (sometimes called a "waiter's friend").
Here are three affordable wine keys:
OXO Steel Double Lever Waiter's Corkscrew ($16)
Wino Wine Key! - Professional Sommelier's Corkscrew ($11)
Viski Burke: Indigo & Copper Corkscrew ($16)