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.
If you had the teleport jump ability from the book Jumper that would be pretty cool and useful. The character fills a cistern by being in water and in the cistern simultaneously which would be a great way to help drought suffering areas while also helping flooding areas.
Far better than the movie. Much crap was added to the movie. Better antagonists in the book and the sequel was also good. Upon searching just now I found that there are a total of four novels in the series.
Jumper, Reflex, Impulse and Exo all by Steven Gould. Now I have two more books to read.