What to do with the Seedlings?
As your seedlings grow, watch the weather. Although a few crops can go outside earlier (check the seed packet info), most should stay indoors until after the last frost date for your area has passed and your soil has warmed. If your area is having a cold spring, hold off.
Gardeners are always eager, but many carefully nurtured tomato seedling has been killed by a May frost or simply slowed down by cold soil. Protect your investment of time and attention by planting later rather than earlier.
Then introduce your plants to the outdoors gradually, a process called "hardening off." For a few hours one fine spring day, then a few hours more the next, give your plants a taste of the outdoors, but bring them in at night. After a week or so, they will have acclimated to the outdoors and will be ready to transplant.