Do not ever plant your chile seeds using peat pellets, peat pots, or potting soil that is mostly peat. If you are using a seed starting mix with peat add 30% perlite. Do not add organic materials to enrich your seed starting mix as they contain fungi spores that can kill your seedlings. For tomato and eggplant you can use peat pellets, although I prefer to use the same material I used to start my chile seeds.
Do not plant your seeds more than 1/4 inch deep.
Always let the soil surface dry very slightly before re-watering.
Make sure that your soil temperatures are between 75-80°F for tomatoes and 80-90°F during the daytime and room temperature at night.
Always use a soil thermometer to measure the temperature.
Always use a weak organic liquid fertilizer on seedlings once they have their first set of true leaves.
Do not use table salt, bleach or Epson salts to treat the seeds before planting. You can use a hydrogen peroxide rinse at planting time, especially important for chile capsicum pubescens seeds such as Manzano or Rocoto.
Tomato seeds germinate in 7-10 days. Chile and eggplant seeds take about 14-21 days. Some super hot chiles take almost a month to germinate, do not give up.