Moz is a great way to gain great insight on how your performing SEO wise. It would be ideal to give yourself an SEO audit - found on Moz. I started off a couple years ago helping out a local company who had their site up and running. I personally started off using sites like WooRank to see where my website was at - speaking error wise and advice with what needed to be added (meta descriptions, page duplicates, nofollows, etc). I like to first start off with making the site as efficient as possibly for the users.
After you can solve the big issues with your site, I tend to then look at Moz Pro to study competitor backlinks. Onsite explorer is a great way to see where your competitors are getting backlinks - you'll have more insight on where they are and where you need to be. But research is always great so keep up with learning more and more through vehicles such as the Moz community. As a new company, the best way to learn is through mistakes. So here is what I would do if I was in your position:
1. Study more into SEO - I personally love Google Analytics and you can learn about it's ins and outs within a week. Also Adwords is a great tool to find more potential customers. Just know that there are a lot of tools out there that make your life a lot easier with SEO. Also know about Googles algorithms such as Penguin.
2. Use tools such as Moz or Woorank to figure out the main issues with your site. Your site is not going to be perfect - it always helps to see how you can optimize it and Moz has great tools to tell you where you can do better. Remember- site content is key to keeping a great user experience.
3. Study your competitors - What are they doing? What does their site look like? Do they blog? Where do they get their back links? People tend to think competition is bad, but it's actually beneficial and can be use to your advantage. So know what they're doing and think how you can do better!
4. Lastly, I would run a SEO audit to see where you're at completely. I ran one the other day and it's pretty great to see how helpful they can be. Here is a link to a great SEO Audit article: http://moz.com/blog/ultimate-local-seo-audit?utm_source=sendgrid&utm_medium=email&utm_campaign=top10
