as far as paint goes..... leave them out until ALL fumes/smells are completely gone...... not even a tinsy bit of it........ good idea about the baking bread

about the eggs, if you take them out it will only make her to lay more to compensate the ones gone, you can boil them, shake them or replace them with fake ones...... if she doesn´t stop laying you may wanna try covering her up for more time..... she doesn´t has a "nest" thing as she is laying them in the floor but removing "nest" looking things helps too.......

is she with a male?..... can the eggs be fertile??