Strawberries from seed are not totally straight forward. They have low germination and take a long time to get to fruiting - not ideal for a 3 year old attention span. However, it can be done. You can either get Alpine strawberry seeds or there are some varieties of large fruited strawberries available. Just Google 'strawberries from seed' to find varieties available in the US. The two links show how to sow the seed and how to plant the plants you have grown from seed. Meanwhile, the plants you planted last year should still be alive and growing.

Planting out: http://www.youtube.com/watch?v=h8FOVJlDfdw&feature=related

Here is a link that might be useful: Growing strawberries from seed