copperbands and filefish are not obligatory aiptasia-eaters, so it’s hit-or-miss on successful eradication with individual specimens of those fish. same applies to peppermint shrimp (Lysmata wurdemanni C.)
Berghia nudibranchs are obligatory aiptasia eaters. these are best for a substantial outbreak, and you may first want to check a local reef club that may rotate around Berghia among members, before buying your own.
[edit: copperbands are fairly docile fish; it would be ill-advised to add one to an established tank, esp. one with territorial tankmates. respectfully, rick]