Can dogs have asthma or any breathing problems?

both my toy poodles (brother and sister a liter apart) sometimes have problems if they eat too fast and they choke on the food or they get too excited after a bath and you know how dogs run around goofy after a bath or when we come home from work and they are excited to see us they can get so excited that they start making a deadly croopy coughing sound and cannot stop having severe "croopy" sounding coughs so we just calmly pet them down their back and tell them they are good dogs and shhh and they start to slow the caughing but sometimes start back up but eventually slow down coughing and then are better. Do all dogs do this and what is this that is happening or is it just my dogs? Or is it a poodle thing? My sister and I have always sworn it was asthma since we were in grade school when they were pups but mom said "oh dogs dont have asthma its just a cough they prolly just chocked they are fine now its ok" but idk always wondered but now finally seeking answers. :) any answers will be greatly appreciated.