Carlos writes, "I am in the United States on temporary protected status (TPS) and am in college. In the meantime, though family, my application to become a permanent resident in Canada has been approved. Now, I must travel to Canada to land, but I do not want to lose my TPS in the US. I would prefer to complete my education here and then relocate permanently to Canada to work there. Can I do this?"
You see, by declaring your intention to permanently immigrate to Canada, you are telling the US Government that your life is no longer in danger and you have a comfortable future ahead of you in Canada. In other words, you really should not be protected by American taxpayers at all. In practical terms the way this will work is that as soon as you file the paperwork for advanced parole to leave and reenter the United States from Canada, you will need to disclose the reasons in the USCIS Form I-131. When you tell them that you intend to travel to Canada to activate your permanent residency there, the US will act to revoke your TPS (do not even attempt to tell lies to the US about the intent of your trip -- for instance, visiting a dying grandma in Canada -- because when you try to re-enter the United States the CBP officer will know immediately from the access to the Canadian database and a stamp in your passport that you are a Canadian permanent resident, you will be denied entry and sent right back to what should really be your future home).
Your idea is wrong on other grounds as well. Canadian permanent residents are expected to live in Canada for at least two out of five years, so you will really need to travel frequently to Canada and that will be impossible with TPS in the US which mandates an approval from the USCIS before every overseas visit. The conclusion is that your best option is to wrap up your affairs in the United States and relocate to Canada. The TPS is a humanitarian effort that costs American taxpayers a lot of money and by acquiring permanent resident status in Canada, your life is no longer under threat, and you should let other more deserving candidates have the chance to utilize the slot.