Those are Amphiprion percula.
They will not host any Anemone as they are far to small to carry around an Anemone.
Several Anemone will host the A. percula though. My suggestion is not to have an Anemone but if you feel you must be a risk taker then your greatest odds of success are with a captive propogated Entacmaea quadricolor (common name Bubble-Tip Anemone or BTA). Specifically, the Rose BTA seems to be the hardiest for new hobbiests.