If you can change your light intensity, turning it down a bit for a day or two post transplant can help, especially if the roots get badly disturbed (happens to me if I transplant after watering, dry-ish soil transplants much better)
I got a small pot sitting on top of a bigger pot, but yeah, I just drop the seeds in the small one.
I lightly wiggle my finger over the soil a bit, then a little water just once and they take off.
It is also whispered that the vibrations of the insects help them sprout.
But that is too humpty dumpty for most.
The less I cared about germination rates, the more that sprouted!