I'm still using TinyMiner (

), it can mine with two accounts on the same computer as well as a host of other useful features for both newbies and advanced players.
I've never had any problems at all in several years of using it but I do limit my mining time so that I can pass for a human player mining peacefully. Greed is your enemy when it comes to bot mining so don't exaggerate! At the end of the day it's still free ISK in your pocket and at the current sky-high mineral prices that translates into hundreds of millions of ISK in a few days!
Make sure to go over the illustrated tutorial (

) and give it a whirl to the fully functional trial version (

). You simply can't go wrong, it's a complete no-brainer!