There should be no problem as both of you are Canadian citizens.
Have to live in UK for 3 years to get UK citizenship
yes The only way you can lose your Canadian citizenship is if it is revoked because it was obtain fraudulently, or if you renounce it formally in front of witnesses at a Canadian government office such as an embassy.
Yes it is allowed. If you obtain Canadian citizenship, you are allowed to maintain your American citizenship as well. But you should always carry both their passports when traveling between the two.
take a citizenship text
I am not certain what you mean by "options" but your status is a US citizen which means you would be required to obtain a US passport to enter Canada. If your father still holds Canadian citizenship you might be eligible for dual citizenship but that would be determine by Canadian laws not US laws.
Firstly, one would have to determine whether they are eligible for Canadian citizenship. One can take a test on the Government of Canada website. Secondly, one would have to prepare for the citizenship test and, lastly, get proof of citizenship.
I am an Irish Citizen and wish to become a Barbados citizen
Passports aren't issued by cities, they are issued by countries. In order to have a passport, you need to be a citizen of the country you are applying to. So if you are a British citizen, you get a UK passport, if you are a Canadian citizen, you get a Canadian passport. It doesn't matter where you were born, it's what country you are a citizen. If you don't have citizenship then you cannot have a passport. Ex: A Canadian citizen, who is NOT an American citizen cannot have a US passport.
Citizenship is a process that takes time to be approved by the government of the country you wish to become a citizen of. In general, citizenship status in the US is difficult to receive and takes several years of processing. If your daughter is a citizen of both countries, you can include that information on your citizenship application forms, but you will still need to go through the proper channels to get approved. Having a daughter as a US and Mexican citizen will not make you a citizen of both and will likely have little impact on your application for citizenship. Becoming a Mexican citizen would be significantly easier if you were a US citizen, as the paperwork and legality is not nearly as complex and strict. Check with the governments of both countries to determine the best course of action for your specific situation.
Be sure you have looked into the American Government system before you make any long term plans. It is falling apart. Also the health care system here is pathetic. How can I become a Canadian citizen? * haha the previous poster is right .. America isn't what it used to be (thanks to our current "leaders"). That said, it is very difficult to become an American citizen. Unless you have immediate family who are American citizens, or are a highly skilled/college educated person, it can be next to and including, impossible. Good luck! * No editorializing on this one. Just as any other immigrant to the United States, a Canadian can take out American citizenship after living in the U.S. without a criminal record for five years and passing a test in American civics and history. Recently Pam Anderson did, so the U.S. is not really all that picky. (Oops, I forgot about the no editorializing!) Also, as a Canadian, I'd like to say that you are welcome to move into my basement. We'll see what happens in November, but 4 more years of a Republican executive might mean that I need to buy a bigger house ;-)
Yes. Every Canadian citizen is entitled to obtain a passport. Criminal convictions have no bearing on this whatsoever.
You can't.