Tbh that's not really macro, but nevertheless, I would say try out the 'nifty fifty' by Canon. It's a budget low light, big aperture lens that would meet that.
Being 50mm fixed means you have no zooming in capabilities but I've had great results with close up detail shots of items.
One thing it's great at is close up shots with massive depths of field. I dunno whether this is something you want but hands down for the price that lens does a great job.
Does your 600D not come with the standard kit lens? I'm pretty sure that lens would be perfectly capable of capturing that.