i need so much guidance

Hi everyone!  My name is Tracy.  I am currently living in Florence Italy for one year, which ends this July 2016.  I will be home in CA for a few months, then coming to Santiago for six months.  I wanted some feedback on the area of Belles Artes?  I found a couple of great studio apts in a building there which are reasonably priced if I sign a six month lease ($775/month...does this sound good??), but since I will be signing a 6 months lease, want to make sure it is a good area for a single 52 year old female?  Is it centrally located?  Will it be easy public transport for any jobs I hope to find?  Is it safe?  Are there places to run?  I would like to live in a hip place with restaurants, shops, etc. within walking distance.  Six months is a long time to be stranded in a less-than-desirable area!  Also, what is the VISA situation?  I will be looking for work teaching english (school and/or private lessons) and babysitting/conversing/playing with kids in english, as I do here in Italy.  But will be coming over without a job.  I hear my passport (tourist VISA same thing?) will be good for the first 3 months.  Can I get that extended for 3 more months (like in Argentina) if I don't have work-sponsored VISA by then?  And is this done by going somewhere in Santiago?  Is Chile the same as Argentina where you can only stay for 6 months maximum (per year) on a tourist VISA (3 months to come over and 3 more extension)?  Anyone with any advice, please share.  I want to be there legally and to have no VISA issues as a barrier to finding work!  Also, is there much work for english with kids privately?  And where would I advertise (besides on this site) once I get there?  Oh my...I need so much guidance!  Thank you so much for any input, suggestions, feedback, advice, etc.  Tracy