BT Home Hub

[#1]

Mother is about to end het BT contract soon and will be moving to plusnet,assuming she is in a low cost area,will het home hub work on Plusnet without any mods.
TIA

[#2]

thing it depends on what version of home hub it is

[#3]

You should be able to grab the free router from PN, if you want to replace the homehub.