Securing an attractive domain name is certainly a good start. But if you have any intention of growing your business, including marketing your products and services, you'll need to make sure that your name is not infringing upon someone else's trademark rights. Otherwise you may need to change your name - a risk no business should take.
If your plan is to use a very generic domain name that is impossible to trademark, you might skip the trademark registration. But read about the risks: When is it unnecessary to register a trademark?