I have a routine of exploration these days. My base is in Poinen (planet 5 moon 12), in the Forge. Poinen has the nice property of being in the center of a constellation that is highly connected. All of the systems in the constellation except for one (Olo) are directly connected to Poinen, but they also all connect to each other. Thus, I can explore while staying close to my base in case I want to reship. I leave my base, scan Poinen and hit sites in my exploration Tengu. Radars get hacked. Gurista signature sites get run, except for the Lookout (which allows in nothing larger than a destroyer). I enter all wormholes that I find leading to wspace just to have a look. Sometimes you can see ships from the wormhole, or even at it. I bookmark all crap sites (drones, mags, rocks), wormholes, and Lookouts. Occasionally I run an anomaly.
Then I go to Otela, Josameta, Liekuri, and Obanen and do the same. All of these systems are one hop from Poinen, so that if I find anything in any of them that requires a different ship, I can hop over and reship quite quickly. These days, I reship only for PVP (if I find someone in wspace), or occasionally to get my Worm for a Gurista Lookout.
If I have time, I can also hit Olo and Nomaa.
Once I have done a circuit, assuming I have found wormholes but not fully explored the systems lying beyond, I return to Poinen and reship into my PVP Tengu. Then I redo the circuit, wormholes only. Each one, I pop into wspace to see if anything is happening, and to look at the full system if I have not done that already. Occasionally you see something interesting.
If I finish that, then I go back for another run of the circuit, exploring in my PVE Tengu. The earlier bookmarks make this pass go a lot faster.