The application process timelines depend very much on what you are applying for.
If you are applying for permanent residence, this could take several years to complete, before you get to land in Canada. Not too familiar with Quebec rules (as they are somewhat unique compared to the rest of Canada) however, there is still a federal process and this will take as long as at least that, even if you could somehow swing a provincial nomination application.
If you are just applying for a work permit (which seems to be the best option for now), considering your timelines, the advertising requirements + building the recruitment case will likely take at least 2 months. Once this is completed (and assuming he could not find a local Canadian to take the job), he can submit the LMO application to HRSDC. Assuming all is in order and the application meets their requirements, 1-2 months further to get that approval, for LMO.
Then you need to take the LMO + all your documents (which I assume will already be prepared at this point ;D) and submit it for the work permit application to your local Canadian Embassy. If they are fast you could have it in a week, but unfortunately they may also be slower (processing times are different depending on embassy and country) in which case it could take up to a month.
This means before you could get on a plane, you should anticipate at a time line of at least 5-6 months. It could be quicker, but I would suggest this is a fairly safe bet. Of course if your LMO fails, well then it will take longer, if at all possible.
Of course once you have your work permit you can come, and live and work in Canada, under the terms of the workpermit.
Since you are clearly in a hurry, I would suggest work permit first, then apply for permanent residence as soon as you have all the right paperwork and requirements in place. For options I would suggest that provincial nomination is without a doubt the fastest option, and if you qualify under this, I would recommend this option. Your uncle would have to drive it, and it may be worth obtaining some legal advice on that. Provincial nomination generally takes about 1 year (from application date) + LMO time.
The next options would be Federal Skilled trades program & after that Canadian Experience Class. Both these will probably take about the same time and you should expect this to take at least 2 years to complete.
Realise that for Canadian Experience Class you already have to have a minimum amount of experience, living and working in Canada before you can apply under thsi program. So minimum 2 years application + 1 year + experience IN Canada.
Good luck
