Depends on the type of "time travel". Backwards time travel doesn't seem plausible, so I guess we're talking only about 1 way physical transport time travel. That kind of time travel is achieved either by traveling at speeds approaching the speed of light or via intense gravity, unless you consider something like being cryogenically frozen and then reanimated at some point in the future to be "time travel".
As far as least amount of impact? I guess in terms of impact, its best to travel to the nearest point in the future that you possibly can, so that hopefully very little has changed and you're still more or less the same person living the same life (with just a short gap from leaving the present and arriving in the future). Otherwise, you could take a huge risk and try to travel to the distant future to a time when all traces of your current life have disappeared and peoples' memory of you has long been forgotten.
Yes. They stole everything of value in my home, which sadly was not much, and they killed the family pets while doing it. No clue who did it, cops tend not to care much when this sort of thing happens to poor people, and they never tracked down who the culprits were. Definitely did affect me and yes I care.