i had the same thing happen to me. just got a tank, let it run for a week, and bought some fish... knowing nothing of oscars, except for what the people at petco told me and what i had heard through relatives who kept some more than 20 years ago. big mistake.
i bought two approx 2.5" tigers from petsmart, let them float for about 30 minutes in the store's bag and then released them. they lost all color, went straight to the bottom and teetered there, being pushed by the current.
assuming they were going to die, i went to petco and bought 2 more (i know, dumb, ignorant and irresponsible decision). when i got back, low and behold the other 2 were swimming around. so i had 4 babies in an uncylcled tank large enough for half an adult. the two smallest eventually died, i found this website, and re homed the third leaving only one, who is still alive and growing thanks to the info obtained here.
point of the story... you aren't the first to do this, and your fish will be fine as long as you listen to the guys and gals on this forum.