How's it going Tomddl?
There are actually TWO types of IP addresses. I'll try to explain the best I can..
The STATIC Ip address is assigned to your computer by your internet service provider. This one is permanent. Not sure if the moving affected anything, but if you're close to the old home, and haven't switched ISP's,
that Ip address should be the same.
The DYNAMIC Ip address is not permanent. Even if you don't move at all - that one will change. Varies to when it changes - could be tomorrow, could be a month - possibly a year. Basically, there aren't enough Ip adresses to go around
To get around that problem, ISP's temporarily assign an IP address to each computer from a pool of IP addresses.
Hope you understand my wording..
~Jason