Glad the technique was helpful Stephen B!
Amt, for a 1" thick top, I would go with the 8mm x 50mm domino. As a rule of thumb for M&T joinery, the tenon should be between 1/4 to 1/3 of the stock thickness (depending on the material).
Assuming you are using a hardwood similar in hardness to the beech dominoes, you can go with 1/3 of the thickness.
You can then divide your thickness into thirds- 1/3 mortise/loose tenon, and 1/3 above the tenon, and 1/3 below. 25.4mm divided by 3 yields 8.5mm, so you'd be OK with the 8mm domino.
At about 4:30 in my video here I do a quick demo on doing breadboard ends with the domino. Hopefully it helps- I use a 10mm domino in the demo as the stock is about 32mm thick. On a small breadboard end like the one in the video, I wouldn't bother drawboring the dowels, but if it's a thick one, then you might consider drawboring for additional holding power (you might have seen this technique in my post Stephen linked to).