These scriptures are in context where Jesus is telling Peter that he would be the rock of the church. And He tells Peter:
Matt 16:19 I will give you the keys to the kingdom of heaven; whatever you bind (Strongs: tie, knot; in another form: need) on earth will be bound in heaven & whatever you loose (Strongs: break up, destroy) on earth will be loosed on heaven.
I see binding as right spiritual thinking and living, following Christ fully. These are the things we “wrap up” in our mind that are true, that we need, that we hold onto and are gifts we offer God. Picture these tied up neatly, wrapped tight, not to be undone. As we embrace these things and be an example of these things to those around us, the kingdom of heaven is let loose to multiply them in ways we can’t imagine and reach more people than we ever could by ourselves.
In retrospect, whatever we loose (break, destroy) – examples are immorality, complacency, negative thinking, evil, etc., is loosed in heaven. As we loose these things, break free from bad habits or destructive lifestyles/thought patterns, as we stand for Christ against evil, the Kingdom of Heaven is going wild, released to do the same on earth. I can picture an army of angelic warriors, heaving on the battle line, just waiting to go as soon we start breaking these things down.
2 Cor 2:5 shows these ideas in action: “We are destroying speculations and every lofty thing raised up against the knowledge of God (loosing) and we are taking every thought captive to the obedience of Christ (binding).”