An Eye-Fi card is designed to automate transfer, but not the entire cleanup process.

Based on user experience, it can automatically upload photos to a PC or Mac once the camera/card connects to the configured Wi-Fi network, assuming the camera supports Eye-Fi cards. In normal use, syncing starts automatically when the camera and computer see each other on that network.

It does not automatically delete photos from the card after upload. The files remain on both the card and the computer until someone manually removes them from the card.

As for controlling sync timing, the transfer is generally triggered by network connection rather than a separate manual “start sync” command. In practice that means it tends to begin automatically once conditions are right. Reliability may vary a bit; if transfer stalls, power-cycling the camera may restart it.

So: automatic transfer, yes; automatic card cleanup, no.