01
The rule
Per the Gemara (Shabbat קכ״ג ע״ב (123b)) and SA (OC 308:3): a utensil for forbidden use may be moved only "for its use" (e.g., a hammer to crack nuts) or "for its place" (when its space is needed). From sun to shade - forbidden.
A permitted-use utensil may be moved even from sun to shade - to protect it.