The stuff I posted is on a 97 Bonneville and applies exactly..it'* a different trans, but looks nearly idential from the outside.
The left side is the tougher side to pop the axle out of the trans. This is because the subframe is in the way of getting a decent shot between the case cover and the rear of the CV joint. I've found the Gearwrench prybar #82248 works wonders in this situation. Although it'* a bit overkill for most guys starting out. It would also be perfect for prying down on the control arms. Just sayin.. a man should have kick butt tools and overkill never breaks when you are balancing your life on it.
The way the axle is held to the trans is like this.. the transmssion has an output shaft that is hooked to the differential at the passenger side. It spans all the way to the driverside and on the driverside end of it there is a groove. In that groove is a little round compressable clip. The CV joint is female and has a small groove inside. When the axle slides on the clip expands slightly to hold it in place. Therefore a quick jerk or yank works best to allow the cllip to compress and the axle comes off. Putting pressure on it and pulling harder only binds it better.