My 3 months old lo has been sweating from hand and feet.

Yes both hand and foot too. Maybe because I have sweaty hands and feet. I have two sons. And only 1 has it.

My bub sweats a lot too. But it does not seem like anything wrong. Weather has been bad. Try to keep baby indoors.

Have you take their temperature? Don't swaddle them as weather these days are a killer.