Can I close my gap with braces and the extraction of baby teeth?

I have two baby teeth with no adult teeth behind. The gum is receding on one. There is one baby tooth on top (biscupud?) and one on the bottom directly below the one on top. My midline is skewed towards the left and one of the two front teeth crosses over the other, so I want to straighten that too. I am thinking of having the two baby teeth extracted and get braces to close the gap and straighten my teeth. Will it change the shape of my face and can braces close the gaps left by extraction?