Earlier quoted context omitted.
Good point. I consider using Stripe a "do-it-yourself" solution, which requires manual coding. As far as handling EU VAT, Stripe offers nothing, and you need to manually implement this. I meant that you should use a service last FastSpring or Avangate initially, which require no coding, and completely take care of VAT.
Do you know if Braintree handles EU VAT in an automatic way? I've read the article below but I'm not totally sure what to make of it: https://www.taxamo.com/braintree-announce-partnership-taxamo... I am definitely not interested in hand-coding a solution.
I use them together with Stripe as my gateway, it generates proper invoices and applies the rate of the buyer's country unless a valid VAT number has been provided. They also provide a stripe-like js library so that the credit-card number doesn't go through my server.
With regard to VAT MOSS report, they do most of the checks, I only wrote a little ETL script using http://www.kiba-etl.org/ to create a break-down of the related amounts for each quarter and each country, which I then submit manually to the VAT MOSS French website.
So in my case, this is fully automated, and I'm pretty happy with this :-)
Feel free to email me if you have questions.