What is most important is that it is done consistently. One mailing doesn’t really tell you anything; it builds with repetition and it builds with consistency.
I used to do it with Mailchimp myself, but it always got knocked off my priority list by the other demands of the business. Mailchimp or Constant Contact can be the cheapest option if you have the time to create a couple emails every week or you can pay a tech-savvy + artistic employee to create & schedule them for you.
Otherwise, spend more to have it done professionally so it gets done would be my advice. Moving Targets offers an email service. I’ve not used that from them specifically, but they are managing my New Mover mailings (and have been for years) and have just taken over my Google Adwords and I’m pleased with both services. It costs me more than doing in house, but I’m seeing better results and as it’s getting done consistently.