Be very careful not to strip the screws. If it has been together awhile, all the dust/chin fur/whatever will have gotten on the screws and may make some a pain in the butt to unscrew. When you strip them it's almost next to impossible to get them out.
I've found that instead of completely taking them apart, it's a lot easier just to separate the two sections- taking the top level off, basically. If it's an option and you can transport them that way, it'll save you a whole lot of headache.