It's nice to hear somebody wanna move to my country! First of all, I think you should know two (very) important things:
1. My point of view could be partial, subjective, even selfish, because there are over 40 million people living in Argentina (and 40 million different points of view), and I'm just one!
2. Things tend to change every 8-10 years in Argentina, so if your plan is moving in a few years my comment could be totally out.
-You speak English so you are totally qualified to work at a call-center. It's not the best job but a working shift takes only 5-6 hours (we use to work 8-9 hours a day) and you could get payed while you'd have enough time to do some other part-time job. Wages are not the highest ones but it's just a way to start.
-You could get a chance teaching some English (informally)i.e. by helping young people with their English homework or oral/writing skills
-If you get luck (and if you're brave!) you could try as an English guide showing the city to English-speakers and other visitors.
-Some international enterprises are always looking for English-native Technicians (fields may include agriculture, insurance, bussines, etc)
-Argentine people are mainly welcoming and curious, they show great interest in foreign people and are very helpful
-You have some Mexican and Italian roots so I figure you might understand more easly about the local way of live (moods, costumes, habits.food, music, etc) than other foreign people.
-We, the Argentine, love children, and let them take part in every-day life. People use to be very nice and helpful with them (your kid might be kissed on the cheek or tightly hugged by adults even when they're meeting for the first time!), parents carry (almost) always children with them (no matter if they're going shopping, dinning, strolling, meeting friends and family, etc) and there's a lot of funny places for them!
-Buenos Aires is cosmopolitan, open-minded, sunny and fairly cool in winter, architecture is fine and food is great!
And, sadly, the cons...
-It's better being fluent in Spanish. This is basic when it comes from getting a job, meeting people, or just living in a foreign country! Only 1 of 5 Argentinians out can speak (not very fluent) English.
-Things change so unpredictably (money value, constant economic and political issues) so people might be suspicious or hopeless at times and (as other people in the world) blame immigrants about their problems (don't pay too much attention to them: they forget their granparents came to Argentina looking for a better life!)
-People from Buenos Aires could be not so nice and helpful if they're having a bad day (It rains, it gets cooler, there's lot a traffic jamms, things get pricier, and so on... there's always something/someone to place the blame on).
-We are one of the worst car, bus, cab or truck-drivers in the world, so pay attention when driving or just walking!
-B.A. (as many other Argentine cities) are getting less safer especially at night, no matter how trendy the neighborhood could be!
-Real state are very expensive to ourselves (almost uthopycal!) because prices are arranged in American dollars, don't you ever think in a loan here because that could be tricky! Some people can be so greedy and prone to dishonestity! You better try by renting (which is not cheap at all but relatively affordable).
and (perhaps) welcome to Argentina!
Hope it'll help you, just to "give a taste" of this country, but do not believe everything I stated, my point of view might be wrong according to other people.
and (perhaps) welcome to Argentina!