Web presence for a print magazine

I am a small publisher of a business magazine and interested in having a strong online presence where I can attract fresh audience to my print publication.

I know there are lots of self-publishing solutions out there in the market and need to find out the right solution that will help me enhance my current presence. Probably a service which includes creating a great website with current theme of my magazine and also drive traffic from other online sources like search engines etc

That's it so far! I'm sure I'll have a ton of questions later on, but this forum is so helpful, I'm sure I'll find my answers.
Thank you