Verb + -ing form and infinitive

Can you help me (to make/making) the lunch?

The suspect admitted (to be/being) near the bank at the time of the robbery.

Do you feel like (to go/going) for a coffee after the lecture?

Robots tend (to do/doing) jobs that are too dangerous for humans.

I agreed to (meet/meeting) Anna on Saturday night.

Has anyone volunteered (to help/helping) with the charity event?

The price of the sight-seeing tour includes (to go/ going) on the London Eye.

After a lot of practice, I finally managed (to remember/remembering) all my lines from the play.

Dan recommends (to see/seeing) the new Sherlock Holmes film.

Now Rob has got a better job, he can afford (to buy/ buying) a bigger house.