1. Using a comma before "but rather":
* "I didn't want to go to the party, but rather stay home and read a book."
2. Using a semicolon before "but rather" for a more formal tone:
* "She had planned to go to the beach; but rather, she decided to stay home and work on her project."
3. Using a colon before "but rather" to introduce an explanation or clarification:
* "She had many choices for her vacation: but rather, she chose to visit her family in the mountains."
4. Using "but rather" as a separate sentence:
* "I didn't want to go to the party. But rather, I wanted to stay home and read a book."
Note: The punctuation choice depends on the context of the sentence and the desired style.