Can we remove this phrase "Free store pick-up"?
Free shipping is an actual benefit.
I have never seen a store that charges you to go to the store to pick up a purchase.
So it seems it's just some bizarre attempt to try to make it sound like something free.
Just call it 'with Store Pick-up'. The word free is just unneeded. If not, then add 'free ordering, free purchase processing, free store parking, free clerk interaction'.