Congratulations for your new (ad)venture!
Since you have a new business, it is safe to assume that the reason why you want to increase your site visits is because you are looking for new customers.
If this is the case, I recommend that one of your top activites is networking for new customer referrals - with Beezoos.com or BNI. BNI does not allow for website referrals, but only for personal referrals. Anyway, Beezoos is equipped to help e-businesses with new customer referrals.
In addition to this, write a blog, show your passion and share your knowledge with other people. Get group speaking engagements to talk about your passion (hopefully other people's passion as well). If you do the right thing, people will love it and reward you for that (with sales, website visits, etc.).
Most of the times, good marketing involves a combination of tatics -- there is no one singlele tactics that does the magic trick.
If you have specific questions, do not hesitate to use Ask Beezoos free service: http://www.beezoos.com/Ask.html
All the best and good luck!