Rebrand!
Many of our Clients have changed not only their Website Addresses / Domain Names, but also their business names. People search Google for what they want and not who they want. Unless you're Nike or McDonalds, they're probably not going to search for "ABC Web Design". If your company is called ABC Web Design and your website domain name is ABCWebDesign.ie, change it to "WebDesignDublin.com". Over time, you should rank higher in Google at no extra cost.
Bonus Tip
You can have more than 1 domain for your website. Why not have other domains point to your homepage or other landing page, e.g. WebDesign.ie & WebDeveloper.com