Tarantulas native to Ecuador?

You're right, there are several species, some are much more aggressive than others. There are some docile, so-called "beginner" species that are pretty commonly kept as pets. My childhood neighbor used to keep a large pinktoe tarantula. Yes, she had pink toes!
She was quite docile and he could even handle her. They are apparently quite social for spiders and can even be kept in groups in large tanks or terrariums. This is however, the only species that I am familiar with and I am not so sure about other Ecuadorian tarantulas but I am sure that many of them are very dangerous and should only be kept and handled by trained professionals.