There's an office in the Calgary Municipal Building you go and wait in. You take a number sit and wait for 2 hours. Then they call your number and ask you what the business is and what the name is. They will tell you if the name is avalible. You'll have to pay a couple fees and such. Not a big deal. Probably around $100 or so depending on the business. Actually, for some businesses i think it's a lot more.
You don't need a lawyer or any of that junk. I'm assuming it will be a home based business, so there are restrictions on to how much of your home you can dedicate to your business etc. It's all on the city of calgary website. Look it up.
I started my own painting business at 20 years old with no cash no lawyers and dumped it a few months later no problems whatsoever.
http://content.calgary.ca/CCA/City+H...s+Licences.htm