Having recently moved about 30 jumps from Heimatar to the Tash-Murkon region, I'm now settling in to my new home base system of Pimebeka. It's where Phoenix Labs has made it's HQ, though we're still listed as being based out of Khanid Prime. A system and region I'm much more familiar with. Stuck between DOMAIN, KADOR and KHANID, TASH-MURKON is a region I've never really gotten to know, despite my 7 years of EVE. Getting my bearings quickly will be crucial.
That's something I always like to do when I establish myself in a new area of New Eden which I'm not familiar with. And whether you use the EVE Strategic Map like me, or @Wollari's DOTLAN EveMaps (which I also use by the way), learning all you can about the systems, belts, stations and surroundings is essential to safely navigating space.
I haven't had the time or opportunity to join any corp events since moving back to PPL, but I have taken a few trips beyond Pimebeka, learning various routes and getting to know a few agents. Hopefully, I'll get to know the neighborhood well rather quickly.
What about you? Have you moved around a lot, or have you stayed within the same region within New Eden?