Practice! (Which should be fun). Be sure you get a good quality corkscrew; screw into the cork straight in the middle (don't let it go sideways on you); put the lever part against the bottle and pull up firmly and slowly.

As for tilting, I only tilt if it's bubbly. Pour slowly so no splashing and you don't need to tilt. (Most waiters pour directly into the glass as it sits on the table (so not tilted).

I am really digging screw caps these days.