The other pic is of the mom(not sure what breed she is,she was given to me)she got out while in heat so not sure what breed the father is either :-(
Not yet I am giving him to a friendThey are both bicolour (in this case black and white) domestic short hairs (DSH), i.e. random-bred or no particular breed. Most cat "breeds" are less than 100 years old and were created from random bred cats, according to this interesting UC Davis site: https://www.vgl.ucdavis.edu/services/cat/ancestry/ . A better question to ask would thus be what ancestry your cats have. (I can't tell you though, as I don't have any guesses based on the photos!)
That's a very cute little black patch on your kitten's left front foot! Does s/he have a name?
I used to be mildly allergic too and it has gone away too for the most part. Henry affects me more than the girls do.
It's highly unlikely to be hypoallergenic. Cat allergens are due to protein in their saliva (Fel d 1) -- it has nothing really to do with shedding hair (as is commonly believed). I've heard there are some breeds with supposed lower levels of Fel d 1, but in general most cats produce enough to trigger a reaction in someone who is allergic. Allergies don't always persist though. I used to be mildly allergic and am no longer allergic at all after living with cats for a while.However, not everyone's allergies go away, so this is something to consider in getting a cat.