Mine are doing great atm...they were started in a plastic tray with a dome. I think the tray was meant for those little "rapid rooters" or whatever, it has these little 1" or so holes in it that I filled with dirt (happy frog). The seeds were poked a half inch or so into the dirt, soaked with water, and covered with a dome. I leave the dome on at night and remove it during the day, to let the condensation dry off of the inside of it. I pour some more water on them when the dirt starts lookin dry. Out of habit, I ph the wellwater to 5.8-6.4, but I kinda think that for sprouting seeds, it doesn't really matter, they just want to be wet.
The tray was placed in a little hoophouse, along with some small plants that were vegged inside a little bit. I got instructions for building the hoophouse on youtube. It's real simple, and I spent zero dollars on it, as I had PVC, rebar and plastic laying around the yard from past projects.
When I'm pretty sure the frosts are past, I'll take em the rest of the way outside and plant em. I have a "Mr Heater" propane heater in the hoop, to be used on the coldest of cold nights, but as long as the temps have been mid-high 40's or higher, the babies have been fine without it.
This has worked great for me so far...hope this helps.