It just so happens I do art reproduction work professionally, so I have a plethora of advice to give.
But first, some questions:
What is that medium and substrate? (type of paint or other colors being used and on which type of paper or canvas)
If it is on canvas, is it coated with varnish or is it a matte surface?
If it's paint, does the surface have a rough texture or a smooth one?
Once you've answered that, I can tell you whether flash or tungsten lighting, whether or not to use polarizing filters, etc.
To make a dead-on photograph, first find something you can use to prop the artwork up with, using an adjustable easel is a cheap and simple solution, just make sure it can tilt back-to-front and ideally doesn't use "step" adjustment. If not that, simply hanging the work on a wall will do good enough if all works are the same size, or you can adjust the height at which they hang.
Once the work is in place with the long side laying horizontally (if possible, so you won't have to rotate the camera to fill up the frame), take it back off and measure it's vertical size, then find a small mirror to place or hang at half the picture's height, as this will be your guide. Make sure the mirror is flat against the surface as you want it to represent the plane of the painting. Now adjust the height and position of the camera on your tripod so that the the lens is looking directly back at itself in the mirror and that means you're straight-on.
Since you said "dead on framed shots", I'm assuming you meant the picture in the frame, which can make things complicated depending on how you want to light the painting, and most importantly, the frame will always cast shadows on the artwork, so be aware of that. What I do if someone requests a framed shot is to photograph the art and frame separately, and then just place the artwork back into the frame in Photoshop, this is a good idea as flash can decimate the detail in a frame and will over-expose it, while under-exposing the painting... and add drop shadows to the art.
Finally for the camera side of things, a 600D is really pushing it for art reproduction, but if it's just 8x10's then it's alright. For settings, set aperture to f/8 (on full-frame this could be as high as f/11), ISO100 or else, and the shutter speed will depend on the lighting method. With flash, this will be anywhere from 1/160 to 1/250th depending on your camera's sync speed.
The 100mm f/2.8 macro is the ideal lens you could have for this job, as it has no field curvature (very important), is extremely sharp, and is the right focal length too. What I mean by "right focal length", is that as you might know, the angle at which light hits something is the angle at which it reflects, which means that a longer focal length lens will pick up less light from off-angles than a wide would and this allows for more controlled lighting and placement. Going any longer is not recommended as it just makes it harder to space the camera far away enough to fit in artworks significantly bigger than 50" within a reasonable room size.
Finally there is the question of white balancing and color-correction, but as I don't know the lighting type (flash/tungsten/ambient) I can't go in much further.