Little high temperature means some infection in the body. I am currently suffering from same symptoms you described, taking sweater with me in summer time, cold feet and hands. I am currently taking 5% Lugol's and Actalin, but my temp does not change.
I wonder if Eco-Thyroid will help me.
After reading a lot about this issue, I have concluded that supplements help, but underlying cause needs to be cured, worked out, cleaned, etc. to be normal again. In my case it was atrauma I went through.