To Remove, Or Not To Remove?

That isn't necessarily THE question, though it is my question, and maybe it's a silly one. I recently picked up a few coins in Littleton wrappers, and one in one of Littleton's big card/clamshells. Two in wrappers are circulated US coins, common dates, and the third is a silver 2001 North Korea 10 Won. The clamshell one is a 2000 Britannia. For some reason, I have a hang-up about removing them from Littleton's wrappers so I can put them in better holders. Is there any reason in the world not to remove them? I think my urge to keep them in the wrappers is based on my inclination to leave things in mint packages/wrappers. Of course, these aren't mint packages. For the two silvers, the wrappers sort of add Littleton's mark of "authenticity," if that's worth anything. I see no reason to leave the other two (a '44 Walking Half and an '05 Indian Head penny) in those wrappers. I guess I just need to see someone else say "it's OK, bust 'em out and put them in proper mounts." How about the bullion? Leave in, or transfer? Thanks!