LetsHost and Blacknight do have attractive offers on their hosting plans to create a new website with different content management systems, but I would give it a miss and only stick with the domain service that they provide. A better alternative for hosting is SiteGround where you can host WordPress or other types of websites.
Register a domain name in Ireland with LetsHost
Go to LetsHost website and search for the domain name, once you press search you will see if the domain available or not, most commonly the domain will be your business name.
If you are still brainstorming for a business name, try free Shopify Business name generator tool to help you with a business name.
Irish law requires proof of residency in Ireland to register a domain name
Once the .ie domain is bought, the final thing we need to do is send the business or individual documentations requested to complete the full domain registration.
To purchase a .com .net .org etc.. no additional verifications will be required and can be done much quicker to register than .ie domain.