The old republic era in general goes from 25,053 BBY to 1000 BBY.
But when exactly does the game take place in relation to Episode 1 of the Star Wars Movie Saga? Are any of the movie characters born yet? Is any of that known?
I normally listen to cutscenes and read quest text, but I don't recall any information about that and there seem to be no sort of books in the game that explain any background story / lore of the game.