LED grow lights are fabulous for this. They are low-power and don't produce much heat so they don't cook the plants.
Don't let articles about basements full of reflectors and lights scare you off. There is a difference between growing plants all the way to flowering and fruiting and just getting seedlings started. My setup won't get tomatoes from seed to harvest. It will get them from seeds to seedlings and do it inexpensively.
This was the first "OMG, I need LIGHT, and I need it NOW" setup. Two inexpensive grow lights are dangling from some steel tubing over my workbench. They have a timer set to provide about 14 hours of high intensity light every day.
|Temporary Grow Light Area|
The next version will have two more lights and more space, but will not be any fancier.
Why I don't use a sunny window
|Sunny windows are for cats, not seedlings.|