Rss/feedburner/mailchimp and creating a e-mail list

Hi there. I've just recently started a new website and I'm wondering if people still use Feedburner and if there are more benefits to using that over Mailchimp for example. I'm trying to find out a simple way to manage and update my viewers with articles and content I put out.

I'd like to hear your tips on how you do this and how you manage it.

My Niche is in the "wellness" so at the moment I'm not selling anything.

At the moment I am simply just using Mailchimp, but I'm thinking instead of making people sign up for a email list, that I'd rather do it all at once with either just feedburner or an e-mail list.

Bump. Can anyone provide alternatives/tips for feedburner?