I open a deck, check that all the cards are there, have a look at each card... then do a really thorough shuffle & see how the deck "feels" in my hands. Following that I'll usually randomly draw a card or two & see what feeling I get.... Depending on how that bit goes I'll either read or scan thru the companion book if there is one or lwb. That's about it really, then I'll just start "using" the deck. 'Tis the best way to connect IMO
That's pretty much what I do, too (not always in the same order):
- check quickly for completeness and any obvious faults (I had a misprinted card once or twice in a new deck)
- lay out the entire deck on the floor to air out any smell (chemical from printing and occasionally hints of incense/perfume from previous owners) for 2-3 days, sometimes turning them over after a day
- gather the cards together again, then shuffle a couple of times (making sure they are really mixed-up well)
- pull a card for a first impression
- check LWB/companion book for a first impression (sometimes get stuck reading all of the non-card-specific parts)
- read (or put the deck away for later, if I'm yet again committed to using just one deck exclusively)
- optional step: cut off the borders and/or titles (if I really hate them, that comes even before the first reading)
- optional step 2: find or make a bag for it (especially if it came without a snug box - I always separate books and decks, so big set boxes are of no use to me once I have the deck).