Get yourself a Vulture...
It's cheap (and so is the rebuy) and it punches above its weight due to the two large hardpoints, meaning that even though it's a small ship it can take on medium and even large ships and have a good chance of destroying them. It can also have pretty strong shields, and since it's a relatively small target, bi-weave shields also work well.
If you have access to an engineer to put in an overcharged powerplant then it'll be a breeze to set up, otherwise it's a bit power starved.
For weapons, use one laser and one multi-canon. The laser will take down your enemy's shields, and then the multi-canon will take out the hull. Beam lasers are the most powerful, but they can drain your WEP capacitor quickly. Personally I almost always use pulse lasers and find them to be effective.
Another advantage of just having two hardpoints is that you won't need to mess around with multiple firegroups, just use the primary and secondary triggers, which should make it a bit easier to get used to if combat isn't really your thing.