Personally, I would skip a BVM and learn basic adult, child and infant CPR. A BVM without O2 is not any better then rescue breathing and in fact is often less efficient unless you train and practice. A BVM is often a two-person job, unless you have large hands and can position and maintain a proper seal. Since this is for your own child, infection control should be of little concern and therefore would recommend against keeping a BVM in your kit.

Pete