Form and rules
How it works
Would you like + noun...? offers something: Would you like some tea?
Would you like to + base verb...? invites someone to do something.
I'd like + noun expresses a polite want: I'd like a coffee.
I'd like to + base verb expresses a polite wish or plan: I'd like to book a room.
Common replies include Yes, please / No, thank you for offers, and Yes, I'd love to for invitations.