Start by creating social network pages for your service then start growing them.

You should find Facebook communities and promote yourself there. By saying promote, I mean on giving like ten free review copies on some design (like the logo) in exchange for honest reviews. Doing that you will promote yourself and also get social proof for your designs. The groups like: https://www.facebook.com/groups/spicommunity/ will be the good suit for you.

You can promote your web design service in Fiverr website marketplace. At there, you can get a lot of demand. Another way, is create a Facebook page dedicated for your web design service and use Facebook paid advertising. Facebook paid advertising would let you to have a laser targetted audience you want based on the preferences you have choosen such location and interest group.

Create an account on freelancer.com and search for jobs there.

For me, you should promote your business giving some value for free.

For example you can create an account on Behance and offer free PSD files or free websites so you can start building your presence and some fans that you can get traffic later on.

If you are going to sell web design I suppose you can make graphic design too, Pinterest and Tumblr are awesome, you can make a lot of followers in short time just by being social, being active, if you can provide awesome quality content with stunning graphics you can make another traffic source with some time.

The good thing is that these all traffic sources are free, and works great for your niche. I think you will find better results than Facebook or Twitter, there're great traffic there too but it's not easy to do it.

Another great fact about my recommendation is that you can find targeted people that you can follow and they will be more likely to follow you back, because you can check the people who liked some relevant content or shared and if they did it it's because they are interested in our content as well, you see where I'm going?

To promote a web design service or graphic design service the best way is going social to some relevant platforms like Pinterest, Tumblr, Behance, etc. You can find targeted people, build a relationship and have presence in your niche. If you don't have a blog you can't rank on Google just with a page of web service, but that's only 1 source of traffic.

You should create Facebook page or group, Google Plus profile, Pinterest, Reddit and Twiter against your site for getting visitors from social medias by posting some free services and contest.

Thanks

What i have found that works well is start with local business. Design up a flyer and go around and meet them one on one. Go to networking groups and get active. Then start posting like Facebook, twitter and so on.

Once you get a few local customers then referrals start to play in as well.

You can start work on social sites. Create website page on social website like Facebook, Twitter, Google+, LinkedIn and promote your website on these platforms. Also worked on discussion sites like Quora & Warriorforum, Mosaichub and solve other person's query that you have knowledge.

You can find guest post sites according to your topic & communicate with him.

You should connect with the social media influencers and engage with them. Also involve in guest post activities and get back links from your guest posts. Explain about your website design services and give them offers.

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