Corys would be unsuitable for a bare bottom tank, they wouldn't be able to feed using their barbels normally- really you need a sand or very fine rounded gravel substrate if you want fish like corys and look after them properly.
Is there any particular reason why you have a bare bottom tank? Do you have any decor (like rocks, plants etc) in the tank, and if so, what sort of decor?
What type of tetras do you have? Are you aware that danios and cherry barbs are shoaling fish and so really need to be in groups of at least around 6+ to thrive best?
Really you would be a lot better off with either just the danios, cherry barbs or tetras but not all 3 types of fish, because if you give these fish the numbers they need to live happily in you will overstock and overcrowd the tank if you have 6 danios, 6 cherry barbs and 6 tetras in a little 10gal tank.
It is also important that you find out what sort of tetras you have, as there are loads of types of tetras, which can vary a great deal in temperment/personality, general care, the size they grow to etc.