What are some good indoor plants for beginners?

Hi, I'd like to try growing one or two small edible plants in my apartment, but I don't know which ones to get.
I've never had a plant before except for a spider plant that I kept in a glass of water. My apartment is very dry and warm, but there are drafts near the windows and it's not very sunny. I live in Anchorage, Alaska, so right now I only have 6 hours of sunlight a day, but in the spring and summer I'll have lots of light. I keep the apartment lights on almost all the time now.
I'll be home every day to water and care for the plant, but I don't have a lot of money to spend on special soils, etc. I also don't have a lot of space.
Can anyone recommend a plant that would be suitable for these conditions?
Many thanks!!
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Chives.

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How long are your days?
You can grow plants under flourescent lights indoors, but you need to rig it so that the lightbulbs can be raised as the plants grow and maintained about 2 inches above the highest leaves.
Lettuce is a good easy plant for short days but even that requires 6 hours of 'sunlight'--I'm not sure if you have that in Anchorage this time of year. You can make a wood box garden about 6 inches deep, 12 inches wide, and maybe 4 feet long (to be generous but small enough to move), and grow lettuce, radishes, kale, and chard in it. Put drain holes in each corner and one per square foot. Relatives of cabbage and mustard, like broccoli, have taproots and can't grow in this setup though. Radishes are small enough to work in this kind of box, and there are also round varieties of carrots but these may be a bit frustrating because the seeds are small and hard to handle and they seem to take *forever* to germinate (up to 21 days).
I have an outdoor garden that I started in fall (california--no snow). This is the first year I've grown vegetables. The lettuce was great until it molded under flooding rains. Radishes seem to be pretty bulletproof and are gratifying because they mature in a little over a month. Of course it is hard to say how they'll adapt to your short natural sunshine supplemented by flourescents to extend the day.
Day length is important. Be consistent in the amount of supplemental light you give or your plants won't know if they are supposed to grow or flower or what. From what I read, anyway.
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