It's ok to not want to go too far. But part of ED is being able to get out there and see what's what.
You can travel for a couple of hundred light years and there will still be stations and outposts to dock at so you're not going to be too far from civilisation.
You can do a bit of traveling and equip yourself to make sure you don't fall into any of the big traps waiting for you.
Make sure you have a fuel scoop for one thing, shields for another, and good boosters to get you out of trouble quickly.
If you want to travel for a hundred light years or so to get a feel for things and make some money into the bargain, you can try you're hand at trading in rare items.
That way a round trip of about 300 ly will make you about a million credits if you take your T6.
I say use the T6 because it has a much better jump range than the Viper.
Getting out there and seeing a bit of the galaxy is what it's all about. Find your niche and build your game from there.