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.
It could help in a lot of other crises too
During a natural disaster, you could jump back and forth carrying aid in, and the wounded people out. In any time sensitive crisis, you could get people out of harms way. This bit is more complicated, but you could potentially help out during floods and fires, depending on how far the ‘teleport other stuff with you’ extends to.
A reasonable limit might be ‘Only what you could physically carry yourself’, in which case you’d need to be a lot more strategic. In that case, you could work on personal strength and be a one-human-rescue-team. When there isn’t a disaster, you could probably shuttle light weight but important stuff for a fee, then use that money to fund your own charity to do good
As for this prompt, you could probably just teleport away when someone might see you, or teleport to spots that people can’t see. So you could do most things that invisibility would allow