Teleportation. The teleportation process would of course also effect anyone/anything I would want to bring with me (of the stuff I'm physically in contact with that is) so that I could, for example, bring my entire room with me. That would be really stupid though, because the room would most likely fall apart the moment I do it because it doesn't have the support provided by the rest of the house any more. Also, if I'd bring the entire house, the foundation would either be left, or not fit at the location I arrived, which would mean the house would either collapse or be really unstable. The kind of unstable that means any kind of storm/earthquake/whatever, hell, even slamming the door really hard, would lead to it collapsing. So it would be limited to a tent or something like that for living quarters, or maybe a camper (as in, house/car hybrid) I've always wanted one of those... So mobile, yet you can live there....
Ahem, anyway. Teleportation would most likely also be limited to what I can see/what I know about a place. After all, if I teleport to some place that just happens to be, oh I don't know, let's say a mountain, I'd be pretty badly fucked up. Unless the teleportation process would blow away anything unlucky enough to be in the way that is. Then I'd just panic for 1 second before I realize I can teleport out of there. While not being able to move or breathe. Lucky me I can hold my breath for a few minutes if I have to... I just hope it's not one of those powers with a 10 minute cooldown or something in that situation... xD
