FamilyFun magazine is rebranding and launching a line of spin-off products and a custom publishing line in a rare growth push for media companies in this economy. The moms- and kids-focused monthly will be known as Disney FamilyFun, after its parent company, as of the August issue. The company's magazine publishing division is also changing its name, to Disney FamilyFun Group, all in an effort to make the most of combined brand power of Disney and the 2.1 million-circulation FamilyFun.