Are you saying that even the -other- computers, other than just the kids computers, cannot connect either, via the router?
And are you saying that this applies to two routers, both the old one and the new one?
One thing to try (what I tell my family members if I have to fix such problems when I'm not there) is the following sequenced power cycling:
Both routers are Linksys.
None of the computers (or XBox) will connect using the router(s). The only connection we can get is directly through the cable box.
We have tried the turn everything off and on again method ~ it does not help.