First, I have to ask why starting over? What did you do before and why didn't it work?

Second, have you read through all the FAQs here? They are linked near the top of the forum page and are pretty much step by step.

Third, all the things on your list wouldn't be started at the same time and several of them are normally direct seeded, not started indoors - lettuce, corn, cucumber, both melons, peas. Although Butter Lettuce is a head lettuce so you can start it indoors if you wish.

What specific "plant bulb"? What bulbs for the shop light? It will be real hard to fit all of those plants under one light.

What size cups and how do you plan to use them? Small 3 oz work ok for germination.

Also, to prevent thinning and transplanting, could I plant 1 seed per peat cell to delay transferring?

Why avoid? Thinning is easy to do with snip scissors and some things - tomatoes and peppers - need to be transplanted at least once just to trigger feeder root development. All the others will benefit from a transplant.

Need more info please.

Dave

PS: Skip the foil bowls. Not sure what you planned to use them for - water or germination - but anything plastic is better if using them for shallow germination. Got any yogurt cups or butter dishes? Anything with soil in it needs holes punched in them.

Here is a link that might be useful: Growing from Seed FAQs