If that ^^ doesn't work, you're able to get the original starters from Soulsilver and Heartgold. You have to beat the game each time however, and Red, so it's a bit of a chore if you plan on going that route on your own.
This would mean if you go for all three on your own you'd have:
48 gym leader battles,
12 Elite four fights
3 Red fights
There are trading boards for SS and HG that you can use too to circumvent this and expedite the starter gathering process.
To get them into White from either SS or HG, your White file must be beaten. Then you can use a feature similar to Pal Park to export them (I forgot the name of the feature). If I remember correctly, the feature requires the use of two DS's in order to work.