First time starting seeds

[ARgardener]

Alright, so I plan on starting tomatoes, peppers, and eggplant indoors this weekend.
As the time draws nearer, I question myself more and more as to if I'm going about things right.

I'll start by telling my current plan:
I'm going to direct sow my peppers, eggplant, and tomatoe seeds into their respective cells in these Speedling trays- https://www.groworganic.com/speedlin...y-32-cell.html. I've got 2 trays and one tray would consist of pepper/ tomato while the other would be eggplant/ pepper.
Planned on sowing in moist Fox Farm Light Warrior Mix, covering the trays with a clear dry-cleaners bag, and waiting for the first seedlings to pop up and then remove cover and put under lights.

Is this the smartest/ most efficient system??
I've seen things like starting in coffee filters and such, and I'm wondering if my plan needs modifying.

If you need any more details or would like to know specific varieties I'll be starting, let me know.

Thanks!