You can definitely start in the food computer if you want!
You would fill the reservoir with the water (no fertilizer yet), balance the water to pH ~6, plant the seeds, and leave the lights off. Then after 3 days, turn the lights on to a day/night cycle. After 2 or so weeks the seedlings should be ready for a normal climate recipe, including fertilizer in the water - if they have visible roots, they're probably ready.
Good reasons to start with a germinator starter box instead:
You can plant more than 10 plants (useful because germination rates are usually <100%)
You can germinate while you still have plants maturing in the Food Computer
Strawberries are pretty difficult from seed, they're often propogated from runners.
Bell peppers should be good - maybe try a small variety though - mini chocolate bell pepper?