Learn English – Does one “wince in pain” or “wince with pain”

They're mostly the same. "Based out of" often suggests that the subject maintains a headquarters or home office in the given location, but spends a majority or other significant amount of time working in other locations; "based in" suggests that the subject works in the given location most of the time. But counterexamples are common, so you shouldn't make assumptions based solely on the wording.

The first is a little more casual than the second, and possibly found more in American English than in British English.