Pathfinder

A good galnet tool for wormhole explorations is pathfinder. It allows you to map the wormhole connections, yielding a chart that can be used by all in the alliance, 

Here, you see seclusion, and how it links to several other systems. There are two wormholes, and one link (our static) to highsec. I've been exploring and found that the Ursus, the C1 hole connected to home, is a dead end, leading to a nullsec and a highsec system. The additional wormhole lead to further exploration, and I haven't finished to complete that branch. Every jump is registered. You can even see where I am, the C4 hole. I tend to log anomalies, and pathfinder shows you an overview like this

but only after someone uploads it. But, the most useful part of it is the list of killmails from the wormhole system you are in. If you warp in, check it. It will reveal active hunters will kills on their name. In that case, just warp back out. But if the system has been dormant, you know you can stick around.