Jesus dealt with the demonic realm a great deal in the gospels, primarily in the context of casting them out. He trained the disciples to do it also and said that driving out demons was one of the signs to follow believers.
Paul teaches that there is a spiritual gift of discernment available to believers so that we would know what the demonic realm is doing. In conjunction with submitting to God, we are also exhorted to resist demons so they will flee.
Is there biblical support for the concept of binding spirits? What does it mean to bind them up?