For "to switch between two things":
* Rotate
* Cycle
* Change
* Vary
* Substitute
For "every other":
* Every second
* Second
* Other
* Intermittent
For "alternative":
* Alternative
* Other
* Different
* Subsidiary
* Replacement
For "to change something regularly":
* Replace
* Substitute
* Exchange
* Swap
The best synonym will depend on the specific context of your sentence.