Does anyone have recommendations for decent, affordable cameras to capture cute newborn wrinkles?

My digital Canon is great for some things, but it’s useless for close ups and really high quality pictures. I want to capture some shots of my newborn, but the Canon isn’t doing a good enough job – I’m tired of too much flash and blurriness. He just doesn’t look like him on the pictures.

I really don’t care what it does beyond showng the lines on his chin, the way his lip bends in the middle and generally not making him look as though he glows in the dark and has a permanently surprised look on his face (from the flash!)

But budget is an issue, I really can’t afford hundreds of dollars on a new camera… so it’s striking a balance between budget and quality.