The name you choose should depend on your intended customer base, your operating capabilities, and your product (obviously).
I think it really depends on who you think will actually pay for your product and how you plan to market your product. For example, if you intend to get your first customers through craigs list or something similar, it might be the best choice to put "PC Repair" (or whatever is descriptive of your product) in the name, as people will be searching by product name. If you plan on getting most of your first jobs through people you already know (or other, more local jobs.... like classmates, family friends, neighbors...etc.) then it is probably best to keep your name in the business name, so they associate it with you.
Of course, a name like that will be extremely common, most likely surrounded by company names that indistinguishable in any important way to people looking for that specific product. Andy's, Bob's, John's, Smith Bros' ...etc. "PC Repair." It limits your ability to create an attractive and unique name that would be memorable on anything other than personal basis.
Putting "Andy's" in the name of your business evokes the sense that your business is smaller or less corporate. When people get their PC fixed by Andy's, they will be more like to think that Andy is fixing it. If you get something like "The Geek Squad" to fix your shit, you expect a trained professional of consistent and known level of quality every time, but still an unknown person. People definitely make decisions on who to hire based on this distinction. If you plan on getting most of your first jobs through people you already know (or other, more local jobs.... like classmates, family friends, neighbors...etc.) then it is probably best to keep your name in the business name, so they associate it with you.
It really depends what your plans and capabilities are for your business.
You should sit down and really plan all this out. You need to know what resources you have (this includes material resources as well as time and personnel) and what exactly your business will consist of. You don't want to have a really generic name and then get a shit ton of people calling with jobs you can't complete. Keep in mind that people looking for a "generic" all purpose PC repair company are most likely people who don't really know what their problem is, aside from obvious symptoms. People who are more experienced and know their specific problem tend to look for a more specific solution to expedite the process and minimize the costs.
Also, get free business cards when you work this shit out. vistaprint and their competitor both offer free, one sided business cards (250) , printed with one of the available "free" designs (there are like 50 to choose from). You have to pay shipping. I'm sure there is something more convenient for you than a USA company.
