We'd call hilling potatoes lazy beds
Basically piling soil from either side of the row on top.
We'd call potato beetle Colorado Beetle, it's not established in the UK so much so that if you were to see one you have to inform the authorities by law - they catch a couple of dozen or so a year
I think we normally plant the whole potato or sometimes cut a big one into a few pieces, some people break off all but 2 or 3 sprouts. I don't know about cutting the eyes out maybe that's an American thing Clanad?
The biggest problem in the UK with potaotoes is normally blight, which is a mould that is a problem especially in damp years like last year
You don't need to chit popatoes and it sounds like these have chitted very nicely already.
http://www.bbc.co.uk/gardening/basics/techniqu es/growfruitandveg_potatoes1.shtml