The latest maps are being curated in the comments below multiple times a day, but the most up-to-date maps should always be the direct sources listed right here:
NOAA fire Map: https://www.ospo.noaa.gov/products/land/hms.html#maps The most reliable and frequently updated map that shows satellite readings of fire spread. This includes hotspots outside the perimeter, and a comprehensive smoke plume map.
Big Bear City trash pickup was halted on Tuesday, Wednesday and Thursday of this week. Water and Sewer services are all continuing without disruption. (and I haven't personally experienced any power disruptions yet.)
Here's another briefing map. These tend to be updated before the main maps, such as the one on the Cal Fire website. I really appreciate seeing the dozer lines and planned dozer lines as well.
It looks like they either over-estimated the spread to the east yesterday, or perhaps fought it back to the dozer line. The spread into the 38 to the south seemed like a significant update over the last day, however.
Big Bear residents do have two routes off the mountain right now (either up to the desert in the north, or left to west past Lake Arrowhead), but the 38 is definitely closed for obvious reasons, and the 330 is still closed as well due to the damage the fire caused early on.