Hiking shoe recommendations: 

(1) I have this , now on sale : 
la-sportiva-jackal-ii
https://www.rei.com/product/246665/la-sportiva-jackal-ii-trail-running-shoes-womens

(2) HOKA is a famous model for soft cushion.
hoka-speedgoat-7
https://www.rei.com/product/C01198/hoka-speedgoat-7-trail-running-shoes-womens

(3) This shoe is famous for those who have flat foot. My wife has this.
altra-lone-peak-9
https://www.rei.com/product/242066/altra-lone-peak-9-trail-running-shoes-womens

(4) This shoe is good for people with wide foot. I have this. 
altra-olympus-6
https://www.rei.com/product/234708/altra-olympus-6-trail-running-shoes-womens

All of these are great shoe models.  You have to try it and see if it fits your feet. It is usually  a personal preference. For example  -  if HOKA speed goat fits my feet, it does not necessarily work for you. so, go to REI and try it.

Socks : 

Liner : 
injinji-liner-crew-socks

For hiking : 
wrightsock-coolmesh-ii-quarter-socks

For mountaineering :
darn-tough-mountaineering-socks-mens

Mountaineering Boot

la-sportiva-nepal-cube-gtx-mountaineering-boots-mens
La Sportiva Nepal Cube
This is mountaineering boot I own.

Scarpa Phantom Teck is another good boot , you can take a look at this too.
Scarpa phantom tech hd
REI don't sell it, backcountry have it
backcountry.com/retail-store-seattle
2650 NE University Village St., Seattle, WA. 98105

Backpack 
Osprey AETHER AG™ 70L backpack

Helmet
Mammut Rock Rider Climbing Helmet

ICE AXE
Black Diamond RAVEN ICE AXE

Crampons
Petzl IRVIS 10 Point Crampons

Sleeping Bag
Magma 15 Sleeping Bag

Sleeping Pad
NeoAir XLite Sleeping Pad
 

Glacier Glass : 

julbo-montebianco-2-spectron-4-sunglasses

First Aid : 

adventure-medical-kits-mountain-series-backpacker-medical-kit

Electrolyte Tablets :

saltstick-fastchews-chewable-electrolyte-tablets-60-tablets

Trekking Poles : 

black-diamond-distance-z-trekking-poles-pair
black-diamond-distance-carbon-flz-trekking-poles-pair
costco.com - cascade-mountain-tech-100-carbon-fiber-trekking-pole-2-pack

Snow Shoes : 

msr-evo-trail-snowshoes