You could turn invisibility on and off as you like and there would be no time limit. Your clothes would turn invisible too, and you could decide whether the items you are holding would be visible or not.
There would be no limits on how many times or where you could teleport. The items you hold while teleporting would be teleported too. You would also have the ability to know if the place would be safe to teleport to, so you wouldn’t teleport and get impaled by an icicle or teleport inside a wall and get your insides filled with concrete or something.
Personally, I don’t know which one would I pick. Invisibility would be awesome for pranks and stuff, but teleportation probably would be more useful for everyday life.
What if you could only teleport yourself and not other objects?
Build a flywheel with a bunch of places to stand positioned around the wheel, teleport to the higher platforms as the wheel turns.
Sure, if you choose to change the parameters from what OP said, it might change the outcome.
That said, the other guy already answered you. It would become less efficient if you only had your body weight, but it still a solve of unlimited (though small volume) energy.