Hello,
For this go in your modules options, Extensions => Modules, and select your module.
Then, go to Menu Assignment tab, you will see a dropdown, select "Only on the pages selected" and selected the page where you want have your module
.
Second step, for have another module type you have to create another module and don't authorized it on other pages.
Take care of give the same Position in Module tab, and so this will give the illusion that the same module "change".
Hope this will fit your needs.
Regards,