just to add to what ksand24 said- not only do you have to have been resident for 3 years to get home fees, you also need to be "settled", ie you must have ILR or British citizenship.
Under the main formula yes, but don't forget you are also "home" if you are the relevant family member of an EU national (including UK nationals), and you have been ordinarily resident in the European Economic Area, Switzerland or the UK/EU overseas territories for 3 years before the first day of the first academic year.
And although you are starting Higher Eduication, not Further Education, it's maybe useful to add that for FE in England only (not other parts of the UK), you are "home" if you have been married and resident in the UK for one year, or legally resident in England for 3 years, whatever you immigration status.
There are actually 10 different categories of people who qualify for home fees, and a number of additional concessions for Further Education only, and for most of them you do not have to be formally settled in the UK:
http://www.ukcisa.org.uk/files/pdf/info_sheets/tuition_fees_ewni.pdf