The Royals will feel hard done by not to have taken at least a point back to Berkshire, after coming from behind twice in the game.
It took until the second half for Reading to bounce back, with a thumping header from a corner for Moore, his first Championship goal for over a year.
But Stoke came back late on when substitute Sam Surridge, who signed only three days ago, capped his debut off with a late winner, tucking home a low ball from Tommy Smith to give Stoke a winning start to their 21/22 season.
Here is our warmdown of the game, where we go over the key talking points.
Reading need signings - and fast
Reading are one of three sides this season that are yet to make a signing, and the game showed.
Reading really could have used some good options off the bench, with them having to take off stars Swift and Lucas Joao due to minor injuries. But the players who came on provided little to no impact, with Holmes even being brought on and put straight upfront, as they were lacking attacking options.
Mario Vrancic makes an instant impact
The summer signing from Norwich City had an excellent performance for Stoke, making the most crosses and accurate crosses, the most tackles and the most key passes.
He also made an excellent dummy for the match-winning goal, leaving Smith's cross so Surridge could get on the end of it and put it in the back of the net.
The Bosnian was released by Norwich after two promotions with the club, so he clearly has the ability to compete in this division, and he certainly showed it today.
Zonal marking doesn't work
Both teams conceded goals because of zonal marking, and both will be disappointed with how bad the marking was for each goal.
Stoke's first goal came through Powell, and poor zonal marking from Reading allowed him to run to the back post and prod home unmarked into the net.
Meanwhile Reading's second goal, from Moore, also came from bad zonal marking. the captain started his run from the edge of the box, following the cross to the back post where he ran in and used his speed to power home from close range.
Had Stoke put someone on him at the edge of the box, the goal may have never happened.