People who have graduated from your program are your best bets. Friends of friends are next best. After that, start checking the various online job boards. Journals are OK, but some hospital systems are ditching print ads because of their cost and low efficacy. For anesthesia, gaswork.com is the dominant player. After that, try
practicematch.com
healthecareers.com
practicelink.com
medworking.com
doccafe.com
There are a bunch of other ones, but beware, many require you to register and they are owned by a recruiting agency. If you give them your usual email address, or cellphone it will blow up. Some recruiters are ethical and won't stalk you, but some can drive you crazy. Make a new hotmail/yahoo email and list a phone number at work.
Recruiters can be good, just be very clear about what your desires/needs are and maybe even send them in writing. These people deal with many doctors and it is easy to mix them up.
Whatever you do, be sure to ask many questions, especially the hard ones. These include, the financial health of the practice, income trends, medicare percentage, and current hospital politics. I just talked to an old friend of mine last nite who moved across the country for a job (where he knew somebody) and after he got there, he found out he was a pawn in a hospital political battle. He ended up leaving after 3 weeks because it was not what it had been advertised as.
Also, think about doing locum tenens after finishing. You can make some serious cash doing it (especially in anesthesia) and it will give you the lay of the land in a particular area, or even the whole state where you are thinking about working. It can also show you good areas that you had not considered before. One great thing about locums is that there is no malpractice tail to pay, so when you get tired of it, you can slide out of locums and into a permanent job with no baggage.