I suspect both names have been used many times before; perhaps even nationally trademarked. Do a search first. Especially if you have aspirations of growing the business, you want a name that's distinct. At the very least you'll want your DBA ("doing business as") to be registered in your province. Not sure of the rules in Canada, but here in the US there are local publication rules, state registries, a national registration, and international registrations. None of them have particularly onerous requirements, which is one reason you'll likely see common names already in use.
One approach is to use your name (e.g. Shwimmwagen Summit Machining, SSummit Machining, Schwimm Uphill Welding, etc.) as part of the company. Get a name where you can also get the Web address.
