Jersey is a small island, and the airport is on the west of the island.
But the main town, and capital, is St Helier, is on the east and I would suggest you stay there. It is only a few miles from the airport and a bus runs direct from the airport to St Helier.
The main bus station is in St Helier and it is easy to get round the island if you are based there.
I stayed at the Merton Hotel a year or so back and it was wonderful. If you are going out of season you may get a decent price.
http://www.seymourhotels.com/MertonHotel/
There are loads of web sites giving lists of hotels so why not search the web, here is one site
http://www.jersey.com/English/accommodation/Pa ges/default.aspx?gclid=CJ6tkJLlopoCFZkA4wodWFK z9A