I live in Suffolk. Perhaps the most important thing to say about jobs in East Anglia is that pay rates are often considerably lower than around London. (You'll need to remember that when working out what level of mortgage you can afford). For example, I know that some warehouses around Heathrow offer work at around �12 to �18 per hour whereas the same type of job will only pay around �6 to �8 per hour here. Many basic retail jobs (e.g. in supermarkets or DIY stores) only pay �5.35 to �6 per hour. As long as you can live on that sort of pay, it shouldn't be too difficult to get a job.
The principal newspaper for jobs in East Suffolk is the East Anglian Daily Times. They publish a weekly jobs supplement each Wednesday. (This also appears in Wednesday's Evening Star). They also list jobs online but I'm not sure whether this includes all of the jobs listed in print or just a selection:
http://www.eadt.co.uk/content/eadt/jobs/defaul t.aspx
Towards the west of the county (and into Cambridgeshire), the main newspaper for job seekers is the Cambridge Evening News:
http://jobs.cambridge-news.co.uk/
Some jobs around Bury St Edmunds, however, might only appear in the weekly Bury Free Press:
http://www.buryfreepress.co.uk/
Toward the north of Suffolk (and into Norfolk), you need to consult the Eastern Daily Press. (See the link provided by Redcrx).
Housing prices vary greatly throughout East Anglia. In Southwold, for example, a beach hut will cost well over �50,000! Other areas can be much cheaper, although you'd be well advised to avoid some parts of Thetford (and all of Haverhill!).
As Shaneystar2 says, public transport in many (but not all) areas of