It honestly boils down to what you want out of the game. I currently run 7 accounts across 4 machines, i only use a KM multiplexer to use each one, unlike kroms mega mouse setup. Below are a basic idea of what my toons do. To say the least, you can try everything you want to, there is no wrong way to try something, don't let anyone else tell you other wise. Depending on the reasoning/drive you have to play the game, myself had the idea to try everything as well so i am.

Some people will argue to strictly do this or that, but there is no fun in that. RobinG's suggestion for mining is right on the dot, i dont recommend mining if you dont like, so dont force yourself to do it. I enjoy mining so my miners are mining quite a bit at the same time im flying around doing pvp on 2 toons. Screen/Toon Management is a key thing, they better setup you are to do the more enjoyable the experience.

Based on the below descriptions, i also must say that i jumped around a lot, it slowed down my overall end goals, but i dont regret it really. Im currently enjoying myself in the new providence area running with a great group of people, its a slow process right now since we just moved there, but well see in a month or 2 if im still playing LOL.

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1 toon is a recon/force recon/stealth bomber/cyno alt for scouting and cyno'ing. This toon cannot mine and will never mine, as she is the only eyes and ears i have when doing my thing in 0.0.

I have 1 combat pilot who serves as my main, who hops around a bit skill wise but is primarily a Tengu pilot until i can get him into a Command Ship, he also has the ability to fly caldari Logistics, but i rarely use him for that. He can also mine in a Hulk, bare minimum ability however.

My 3rd toon is my ace in the hole, so to speak. He is a Domi/Megathron BS5 pilot with spec skills for every sized hybrid weapon. This toon also is my main toon for Gate camps, as he is also a Heavy Interdictor pilot.

I have 2 other multi-role toons, Both Fly tech 3 cruiser (Tengu and Loki), each also does another role, 1 being a carrier/triage pilot and the other being my freighter/jump freighter pilot, These 2 are my main miners, fully loaded with +4 skill in each processing skill, and exhumers5, upgrades5, these 2 are my work horses.

my 6th toon is my Orca/Rorqual Pilot, who is currently skilling to be a my new primary jump freighter pilot, so i dont have to re-task one of my other toons when they are mining or doing combat work.

Then last but not least my 7th toon, is a highsec afk freighter pilot, lvl 5 Salvager, and Corp Management toon with Empire control 5 for when ever i make my own corp.