Any knot can weaken a cord (rope, bungee) some more than others. I don't think repeated tying or untying will cause wear to the point of failure. In rescue, every time we need a knot we tie it. We never store our lines with knots left in them because that can weaken the rope. My theory about knots is only learn the ones you need to know. There are so many knots for so many tasks it will become a full time job remembering and tying them. I am a big fan of the figure 8 family of knots because they tend to cause less stress on the rope than traditional knots like the bowline or square knot. When I teach knots to firefighters, I keep it simple and joke with them with the phrase "if you don't know the knot, tie a lot". I think a simple overhand or surgeons knot will act as a good stopper.