I must be up to about 4 k by now-.- Does the bunny look like anything special cause im starting to suspect you need something more than just luck. Perhaps you must unlock a certain amount of the egg boxes or something like that. Its starting to get real frustrating when the time is running out : P
No, the bunny I clicked on was just a regular bunny. All I know is that I finished the questline and then had to click on tons of bunnies to get the Fabergé egg. I have gotten a few baskets since then, but not too many.