It all depends on what kind of homepage you operate. Basically, it can only be stated that your own homepage does not need a legally valid imprint if it really only has purely private and family content, such as a page about your own pet, your own family or similar.
According to the law, business-like online services need an imprint. Unfortunately, there is more than one dispute about the extent to which and from when a website is "business-like".
Just a single, self-installed advertising banner can appear sufficient that your private homepage is no longer a private homepage and requires a legally valid imprint.