There is no easy engine swap for the 2000 Corolla. If you want power and you're just going to pay for it you might as well buy a turbo-kit for it. That would be more straight forward than doing the custom mounts, custom axels, and wiring hassel that comes with swapping in a 2zz-ge from a Celica GT-S or Matrix XRS or Corolla XRS. That being said, the swap is possible and has been done.
As for swapping in the 'lude motor, please

. That is just wrong and silly. The A/T to M/T swap is going to cost you and arm and a leg if you pay a shop for it because it involves quite a bit of labor.