This may be the hardest thing to do, but try to make friends with Argentines, be patient, and try to avoid using English. Even though my level of Spanish was good when I arrived I would sit at a table full Argentines and have a hard time keeping up. It took about 3 years to really be able to have a conversation in a group of people, in loud bar, etc. and 5+ to understand all of the conversations happening simultaneously.
Podcasts are a good alternative to the (VERY bad) television shows. Listening to Argentine music also helps with the accent. Try to learn to use "che" and "vos" as soon as possible.
Search for La Llama que Llama on YouTube. That's how I really learned to speak Argentino.