I'm overweight and i've recently started losing weight by eating healthier but now i feel hard spots on some parts of my fat. is that normal?

Probably: As you are losing fat, you are feeling things that you could never feel before. Most all of us have firm accumulations of fat called lipomas or benign cysts within our subcutaneous tissues under the skin. Keep track of the lumps and make sure they don't seem to be enlarging. They should also be painless. Any questions? Have your doctor take a look at them. Good wishes:)