Being that most tryouts are on the same days or some are this weekend and some are next weekend. When wanting to tryout for different teams, say the team you really want to go to tryouts are on the latest date, but your DD if offered a spot before that. How would one handle this? Also is it better to have multiple kids in the same organization or does it really matter?
I would ask for a private tryout and make sure they are looking for the positions your DD plays if that team is the one you really want. It would stink to pass on an offer or loose out on an offer only to find the team you want only needs utility or OF help and your DD is a pitcher catcher, SS etc.
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Teams have tryouts looking for talent and if your DD is one a coach believes can help their team and makes an offer generally the coach will give until the next tryout date for a reply. I do not know of many teams that holds a spot for an extended period of time and passes on qualified players especially; ones that meets or exceeds the talent of the lady asking for more time.
As far as having DDs play within the same organization or in two different organizations... I think just because you are playing on a teams within the same organization it does not guarantee practice locations or tournaments will be on the same schedule. I do know of some organizations that do have shared resources, practice locations and close schedules that can help with parents getting players to and from events but the team has to have a need and sometimes the player may have to change positions to make this happen. It gets harder the more age between players as well.