Generally speaking any PC Witness DVR is going to work well for you there; they're not only extremely user friendly (with their point and click interface and familiar windows XP OS) but can also support up to 250 different user (or admin) profiles for remote viewing. Potentially, each parent who has a child at the daycare center could have their own username and password to see their child's classroom, or you could also create a master parent profile for everyone to share. Either way, the system will support it!
As far as which specific PC Witness DVR is right for you, that depends more on the number of cameras you have, however for this kind of work the power of a Pro V\RT would probably be best; it's not only expandable up to 16 cameras but also has the power behind it to handle many remote clients logged on at the same time.
You can see options for the Pro V\RT and a demo video for its software
here