Hi Virginia,
If you have the $$$, I would test with both 23andMe and Ancestry. While my family is predominantly Eastern and Western European, I had autosomal DNA testing done for my brother, mother and sister at Ancestry. 23andMe and My Heritage. Later, I paid to have my brother's Y DNA and my mtDNA done at FTDNA (along with transferring our atDNA).
You might want to wait until there are sales for atDNA at Ancestry and 23andMe. Going with both may provide you with more information that can be checked between 23andMe given responders have suggested that this company has gotten more DNA from Asian populations, and Ancestry, whose data base is quite large and growing (hopefully with more diversity).
There are also user pros and cons with each of these companies as to what is available. For example, one company may not display chromosome matches, while another company does. This would be another value to having DNA done at both Ancestry and 23andMe. Hope this helps in the decision making process.