Yes to register your business name is easy can be done entirely online and costs or at least when I did it last cost $60 for a 5 year registration period ... you have to renew it every 5 years than.

If you want to 'search' to make sure no one else has your name before you that costs more ~ but honestly I did not pay to do that if you do a google search for Tender Loving Daycare for exmaple there are 100's of them across the world ~ so I was cheap and just searched my name myself in google, kijiji and daycarebear and there was nothing coming up in my province or anyway at that time and that was good enough for me ... it is not like I am a big company like NIKE or something