There is no arrivals card- it is all done on your smartphone. Definitely download the Philipine Immigration App and complete before you hop on the plane as otherwise you will spend at least 30 mins trying to follow the really poorly worded webpage standing in the immigration hall after you arrive in Manila.
Overall- Manila airport is one of the worst I have been to and despite having consistently cheap airfares through there, I will not go again.
We caught the free bus between the terminals. It's clearly signposted where to catch it- runs 24/7 and leaves every 15 mins from memory.