1. Let's book... (infinitive) two weeks in a composite in Corsica for next summer.
2. On Sunday, we're going... (gerund) Would you like to come... (infinitive) with us?
3. My little brother is interested in playing... (gerund) all sorts of old board games.
4. My parents didn't let me go... (infinitive) to Adele's concert, with a pry!