Keep a variety of attacks on hand. For example, I always maker sure Cloud has Contain, KotR, 4X-Cut, and a full set of E.Skills on hand before I go in there. Keep your limit near max so that it can be a fail safe, but don't use it too early. Remember, limits can't be broken (though they can be weakened by weapon break or whatever).

Mini characters can still use magic attacks for regular damage.