LAN, WAN, VPN, Wi-Fi, Broadcast, Peer-to-Peer, Cellular, Supply Chain, Transportation, Neural. What 7 letter word goes with all these?

Born of Prometheus, cradle of the Phoenix, I am a crimson pulse buried in a gray shroud. I am the glowing residue of November and December; place an 'M' at my head to make a body's limb, or leave me to freeze into ash. What am I?

Soft as a whisper on a chilly morn', Worn by the lamb, from which it's born. Once it's trimmed, we stay snug and warm, A gentle shield from the frosty storm.

A tiny glass wizard, making the small appear large; it shrinks the universe into your hand, revealing secrets not seen by the naked eye.

To the child, it is both a trampoline And a hiding place for monsters.