What Causes Cough, Dry Eyes And Wheezing At Night When Diagnosed With Asthma?

HI, YEARS AGO I TESTED ALLERGIC TO HORSE DANDER (BIG TIME). RECENTLY I WAS DIAGNOSED WITH ASTHMA AND GIVEN AN INHALER. APX. 6 MONTHS AGO. WE ALSO TOOK IN A CAT THAT GOES OUTSIDE THE HOUSE AND BACK IN....THE CAT HAD 3 KITTENS AND KITTENS HAVE BEEN INSIDE THE HOUSE APX. A MONTH AND ALL OVER THE PLACE. MY PROBLEMS STARTED WHEN WE GOT THE CATS. MY FAMILY MEMBERS LOVE THE CATS (WE NEVER HAD PETS BEFORE) BUT I FEEL I AM ALWAYS COUGHING, HAVE EARY EYES, WHEEZING AT NIGHT TIME. I HAVE TO WORK FULL TIME AND FUNCTION AND FEEL LIKE MY HEALTH MIGHT BE COMPROMISED.I ALSO THINK I AM GETTING LITTLE SCABS OR BUMPS ON MY SKIN PARTICULARLY ON MY BACK. WHAT DO YOU THINK AND RECOMMEND.