Take your bottle of prosecco and place a kitchen towel over the cork, securing it with your hand. Holding it at a 45 degree angle, twist and gently pull the cork from the bottle while also securing the kitchen towel with your other hand. The kitchen towel catches the cork and some of the foam, resulting in less cleanup and zero risk of popping somebody's eye out.
Prosecco has a bit less pressure in the bottle than champagne does, meaning that prosecco will be a little harder to open without the bubbles helping to push the cork out. Be firm but gentle, and don't get impatient if it's a little harder than you expected.