Luke,
I have sent PSA/DNA over 250 cards over the years and like the previous poster mentioned, they occasionally do run specials but not very often. Forget looking each player up. Just give this an easy test drive:
#1 Go to:
http://www.psacard.com and log in
#2 Top left under their numbers counter click on: "Services"
#3 Under Trading Card Grading click on the blue button: "See Pricing & Submit"
#4 Click the Blue button that says: "Start"
#5 Click the "Next" button to start a new submission (even though this is a test run), you can just try this without submitting, they would never charge you unless you went through inputting your Visa etc so no worries
#6 Check "Regular Sized Cards" then click "Next"
#7 Check "Grading" then click "Next"
Thats it, on the screen you will see ALL of their options for Red Label. You always want Red Label as Blue does not even authenticate the card and only says "Trading Card". Red Label all the way as they can someday be input into Registry Sets and Blue Label can't. Blue Labels are for those who want to throw money away.
Right now it is $20 per REGARDLESS of subject as long as you value the card with auto less than $250. $25 per if it is over that amount and more if you have a HUGE value card or want them quicker. Just for comparison, I sent 1 card to get graded and auto graded on 12/1/16 and paid $25 plus $18 to get it back to me, it just hit on their website and is on the way back to me so that took about 4 to 5 weeks. Normal really for them regardless of what their "turnaround times" say!
Good luck and feel free to PM me any specifics.
Peace, Mike
PS I normally do not just send 1 auto card at a time like above but it was a rare find for my #1 Registry Signed 1961 Fleer Basketball Auto Set. Only need 4 now!!!!