Moving a DNS servers IP address.

[Jonathan de Boyne Pollard]

DB> [...] there may be bind caveats involved I don't know about.

There are.

DB> Otherwise you may tell me where to go (hopefully).

Go to this web page (and read it):

<URL:http://homepages.tesco.net./~J.deBoynePollard/FGA/dns-switching-content-servers.html>

DB> [...] we changed all of the SOA expiration record times [...]

The fields in the "SOA" resource records are irrelevant.  What
you should be changing are the TTLs on the delegations.

DB> (I think the IP [addresses] should be changed [at OpenSRS] as
DB> well [...] my boss thinks they will update automagically.)

You are right.  Your boss is wrong.  This is addressed on the 
web page.