I think I'd wait a while at least to see what the ownership style is, are they going to install experienced directors, CEO, Chairman, etc, or are the owners going to try to situate themselves and family on a day to day basis? Most owners are only noticeable when they're asked to get their chequebooks out, I'd wait to see, hear, what others think as well but I suppose most noticeable would be position in league and any changes that apply to fans.
I've never been given any choice in who owns my club before and for years I've hoped the current tight fisted uncaring ones would sell up and leave but never really gave much of a thought about who might buy. It's rare now that PL or sometime top flight clubs are owned by truly altruistic owners, Delia springs to mind, she and her husband have put a huge percentage of their assets into maintaining Norwich, not big money by most PL clubs standards but it is what it is and I can't imagine that by the time someone takes over they'll either get the money back or for that matter sell to any supposed 'despot' or essentially anyone they determine would be bad for their club. I can't see me supporting any other team at this point in my life, I'd have to make do with occupying my time with other pursuits but I'd give the new owners a chance. I can accept that some will have stronger feelings, experience and knowledge.