The way I do it is I place a piece of wax paper over the top and place my hand over the wax paper. I then flip it over and peel the parchment off the bottom. Then I have the serving plate ready to place over the bottom and flip it back over. Then remove the wax paper. Hope all that made sense to you. I've not had any problems doing this.
Of course, your cheesecake needs to be good and cold before doing this.
Hope that helps!
The way I do it is I place a piece of wax paper over the top and place my hand over the wax paper. I then flip it over and peel the parchment off the bottom. Then I have the serving plate ready to place over the bottom and flip it back over. Then remove the wax paper. Hope all that made sense to you. I've not had any problems doing this. Of course, your cheesecake needs to be good and cold before doing this. Hope that helps!
I had the same problem yesterday and did the same thing. It worked great and I wondered why I never thought of it before!
Your crust has to be fairly firm also.
But if you are leery of flipping your cake over, you can try to heat an offset spatula over a flame and carefully slip it under the crust in several places to loosen it. (reheat it every time) Then you can lift it off of your springform bottom.
-Rezzy
Welcome to Cakecentral AuntKiki!
I always put a carboard round in the bottom of my spring form pan, then add the crust on top of that...it makes for very easy removal!
I do the same thing, except I cover the cake round in foil and I just leave the cheesecake on there. I don't remove the cheesecake from the round.
If you use the foil-covered cakeboard method, just get the cheesecake good and cold (firm) in the fridge or freezer.
When you get ready to put it on the serving plate, it should pop right off of that foil-covered board.
Getting the cheesecake really cold is the secret to being able to handle it well. 
--Knox--
That's the way I do it all the time.
I just cover a cake board in heavy duty foil, and spray the pan along with the board and then fill & bake.
It works fine with dry baking or a water bath, too.
Then I take them out, chill and or freeze them in the pan.
When it's done chilling, the cheesecake pops out with the board all in one piece. Then I just pop the board off. You can use them over & over again, too. Just replace the tin foil each time!
--Knox--
Can you bake the cheesecake with the cakeboard in it?
Absolutely! 
What I do is put the unwaxed cake board in the spring form pan, spray with pan. Then I wrap the outside of the pan with foil, add my crust and the batter and then bake. When I am ready to remove the springform pan, I just unlock and remove the ring and lift the cheesecake out, by grasping the cake board and then sit the cheesecake (with the cake board) in my cake box! It works great
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