Thanks!
From the Startup Chile FAQ, participants are entitled up to $600,000 CLP monthly spending on rental. Many had fully furnished apartments around Providencia with facilities like pool and gym (from HomeChile listings, apartments with such facilities are around 400k-600k). Providencia are also recommended because it is said to be safer.
PS: Another website similar to HomeChile is ContactChile (http://www.contactchile.cl)