Hey there!

If you're trying to outrank Google, in short, you need 5 things:

1- Guest post and niche edit backlinks from websites with high RD and traffic numbers
2- Tier 2 and Tier 3 backlinks driving power to your high quality, white-hat, tier 1 links.
3- Active social and press syndication (Using an IFTTT network or Storychief) across all social platforms and web 2.0s to drum up referrals and some link juice
4- Citations and Niche Directories- Use the Yelps,Upcitys, clutches, and HomeStars of the world a nudge out by using their site to drive link authority to your own with local citations.
5- Accurate and targeted anchor text profiles- This is possibly the most key step. Be sure to use the right anchor text for each style of link being built to keep it as natural as possible.

That was quick but if you have any other questions, let me know and I can help!

Cheers
Blake