Unless you have a somewhat sophisticated artificial light set up, you do not have enough light. Your seeds may or may not germinate in a garage, but they will certainly quickly become "leggy" in a matter of weeks.

The seeds will germinate, providing the medium they are put in is moist, and warm, enough, but the plants may not grow very well unless good lighting is provided.
High humidity during seedling growth can be deterimental because of some fungal diseases that could develop.
Perhaps the link below will be of some help.

Here is a link that might be useful: Seed Starting

Once the seeds germinate, I put them outside in places where they are protected from birds, wind and pounding rain. You may want to bring them in at night until they are large enough for the garden.

Thanks for the follow up all.

So it sounds like I should be ok starting the seeds in my garage from a few of the responses received.....

Should I start them off inside the house instead or the garage is sufficient until they germinate?

Also, in reference to the last post, why once they germinate do you put them outside? Couldn't I just leave them in the same place?

Thanks,
Michael

Assuming DE is Delaware, I'm not at all sure how successful you will be with your pumpkins or squash. Generally fall vegetable plantings focus on cool season crops - those that do not need a lot of heat to flower and fruit - squashes, together with peppers, tomatoes, eggplants, etc. are hot season crops and need the sun and temperatures of a summer climate to thrive.

Suggested fall planted veggies include cole crops - cabbages, cauliflowers, kale, brussel sprouts - virtually any kinds of greens (lettuce, spinach, mesclun) - and many root crops - carrots, radishes, turnips, beets, etc.

Here is a link that might be useful: fall vegetable gardening

Light is the main issue with seedlings m1chael. Set up a shoplight using "daylight" florescent bulbs. And shoot for 12-14 hours of light with the lights being just a couple inches above them. Keep the soil moist. Do not over water!

Use a peat based seed starting soil.

The squashes, onions and radishes may do just as well directly into the ground as long as you can keep the soil moist in the heat of the summer/early fall. If you do, once the sprout, you may want to use shade cloth until they get established.

I am doing something similar, I'm going to be starting lettuce and onions inside tonight and I have some 35 watt CFLs I am going to put them under to start them. Hopefully it works! I am also planting carrots, chives and pumpkin but these I will be planting directly in the ground this weekend. I am in the process of double digging a 13x5 spot for my new garden, first one at this house
because of how bad the clay is.
Hopefully these will start well inside
and transplant perfectly once I'm done because double digging is no joke and I'd like to see results!

drizz, are you ammending the soil directly or putting in ammendments at the bottom of the second layer down?

I am putting compost and fert on top of the broken up second layer. My top layer is still pretty chunky so I'm probably going to throw some compost on the top couple inches and mix that in also.