quickest is not always best. there are lot of ways to get instant backlinks but not all of them are beneficial to your link building campaign. quality links take time to build. you can read about some link building methods on the article i recently published
You really should take your time - especially when you start your backlinking campaign. I think doing it fast will hurt you in the long run.
One thing you can do is do what sultanofseo did in this post. Create quality content to link to that will benefit others.
One of the most inexpensive ways to get backlinks is to write articles and submit them to blog posting services. Another way is to use a service whose purpose is to get your site linked to others, You can also encourage people to syndicate your site's content thru RSS feeds.
Instant backlinks will create problem for your website. Try to get backlinks from the old domains and relevant to the theme of your website. Article directories are the best source and also do blogging for the good backlinks.
A simple strategy, that takes very little time and effort on your part, is to place an "AddThis" button on your pages. Pick one up at addthis.com.
I use an article submitter that utilizes a unique way of spinning articles so that every directory and blog it submits to get an original variation. It also gives you the choice of how many submissions you desire to send out each day, this feature is fully programmed. Utilizing this submitter has given me first page search engine positions for 100's of phrases by building 1,000's of links for most of my keywords.
In order to get high PR, engaging on the techniques like blog commenting, forum posting, classified ads, press release, online groups, link exchange and social bookmarking and networking helps. Remember to get back links on relevant and DoFollow sites because Google gives more value on them.
There are a numerous ways to promote the site.Do Social Bookmarking,directories submission,blog comments and forums to promote the site .
Keep on building quality link. You can submit directory submission especially those directory that provides an instant link. Wherein, you can call as a live links. Also, forum posting in a do follow forums can helps.