Można używać wymiennie [1]:

However, when we are talking about specifics, would rather is used as an alternative to would prefer to followed by an infinitive.
Would rather is very common in spoken English and is often abbreviated to 'd rather.
It is used in this form with all personal pronouns:

I'd / you'd / he'd / she'd / we'd / they'd rather…

Study these examples:

Would you like to go out for dinner tonight? ~
No, I think I'd rather eat at home / I'd prefer to eat at home.


Would you rather drink beer or wine with the curry ~ I'd rather drink beer. What about you?

They'd rather have the strawberries by themselves, but I'd prefer to have them with cream.

1. http://www.bbc.co.uk/worldservice/learningenglish/grammar/learnit/learnitv107.shtml

pzdr