Welcome to Portland! I'm another Bay Area transfer (grew up in Cupertino and owned a house in downtown San Jose just before moving here).
I highly suggest you check out www.portlandmaps.com
. There you'll find all sorts of statistical information, including on crime (personal and property), owner/renter ratios, even property values and permitting for an individual house. It can be very informative, but you need to start with an address or intersection.
One of the difficult things about Portland, IMO, is that crime, etc. can vary block to block. For example, SE Somestreet at 40th might be fine, but at 42 there's been lots of property crime. That's where I think PortlandMaps come in handy.
If you want to be close-in near vintage-y stuff, esp. 1920's era houses, you probably want to be on the Eastside. There are lots of little neighborhood pockets with great shopping areas, like Division, Clinton, Sellwood, Woodstock, Hawthorne in the SE...Alberta, Killingswoth, Mississippi in NE. However, some of these, because of the "vibe", also tend to attract property crimes. If you can afford it, neighborhoods like Laurelhurst and Irvington are safer, but more upscale and less walkable.
That said, I've never felt particularly unsafe in Portland, although my friend who lives in the Lents area talks a lot about the number of sirens
As to Portland Public Schools, they are struggling, as are many SD these days. My friends whose kids are in PPS often apply (va lottery) to get into one of the charter schools. Depending on your school/education astethic, there are choices, but some of them can be difficult to get into.