ISOGG have comparisons chart of the autosomal DNA tests offered by the four main companies:
http://www.isogg.org/wiki/Autosomal_DNA_testing_comparison_chartIt's worth reading some of the blog posts to get a feel for what the tests are all about. You can read my reviews of the 23andMe test and the Family Finder test here:
http://cruwys.blogspot.co.uk/2012/12/23andme-test-now-down-to-99.htmlhttp://cruwys.blogspot.co.uk/2010/04/new-family-finder-test-from-ftdna.html23andMe and Geno 2.0 are currently the only tests that give Neanderthal percentages. All non-Africans have a small percentage of Neanderthal DNA.
The 23andMe test has the advantage of giving you all the health and trait information which is interesting in its own right. It also has a cousin-matching service. However, a lot of the 23andMe testees are only interested in the health aspects and don't respond to genealogy requests.
The tests from 23andMe, FTDNA and Ancestry are all the same price. FTDNA works out cheaper for those of us in the UK because they only charge $7 for postage whereas 23andMe send the kits by courier and the shipping costs almost as much as the test itself. The AncestryDNA test is only available in the US. It is not worth waiting for this test. The AncestryDNA test doesn't include all the basic tools that you need to verify your matches such as shared segment data. You also need to have an Ancestry subscription to access some of the features. Ancestry have over 120,000 Americans in their database and if they do launch their test in the UK any Brits taking the test will be swamped with American matches but with no easy way of filtering the match list. (I'm one of the few UK people to have tested with Ancestry having tested with them in the early beta phase before they stopped allowing non-US orders.)
All these autosomal tests will give you matches with genetic cousins in the relevant databases. The tests are most effective at finding cousins within the last six generations or so. They do give you more distant matches going back for ten generations but some of these are false positives. In most cases it's impossible to find the paper trail connection. Even if you do find a connection it may not necessarily be on the line that you've identified. Few people, if any, can trace all their lines back for ten generations.
FTDNA specialise in Jewish ancestry and have lots of Jewish DNA projects:
http://www.jewishgen.org/DNA/genbygen.html Ashkenazi Jews are what is known as an endogamous population (they all intermarry). Consequently Jewish people have excessively large numbers of matches.
If you want the health aspects go for 23andMe. If you want the cousin-matching go for FTDNA. Ideally if you can afford it then test with both companies. You would need to test with 23andMe first and then do the transfer to FTDNA using their third party transfer programme:
http://www.familytreedna.com/faq/answers.aspx?id=4223andMe don't accept third party transfers so you can't test the other way round.