I cut around the ENTIRE cork to "loosen" the top from the bottom.
You will have about 5-6 slices going down.
At this point you can now cut or pull the top part of the cork from the bottom part.
TIP: drill a hole in one side, not going through the other end. Then turn your cork around and drill THROUGH. I found that this helped with making "strait center" hole. The first time I did this it went out the side wall at the end.
Gradually move your bit around to make a LARGE hole...you may need to do this a few times to get it tight enough without ripping the cork open.
Then slide your pump down into the cork and push it all the way to the top of the pump.
And as for some other bottles...the pumps just screw on!
A Jager and mini Smirnoff bottle.
And this was a custom order that I did....I LOVE the idea's I get from customers. I'm doing another set right now for "soap" and "lotion"
You can find the pumps in this post HERE.