Very unlikely you'll find one, luv. There's too much complications with having pets in student accommodation (damage, pet fights since you won't be the only one, other peoples allergies), which is why it's only reserved for service animals
Plus it's generally unfair on your pets as moving is known to stress them out. So moving once, then again in practically under a year? Not the best for their well-being. Then the additional not enough space, especially for a dog.
Your best bet will be going shared housing after 1st year (as I recommend dorms for the 1st, but that's up to you), as it's not temporary like student dorms and you don't need to find additional accommodation or move back home during the summer. Which is less stressful for you, and again, your little ones. And if you play your cards right, shared is cheaper than student accommodation, so you will have more money to spare to keep them comfortable and happy
I know it sucks, but that's just how it is. I've been trying my hardest during my first year to get a job that can sustain a shared apartment during the summer when we don't have loan payments, so I can bring my cat up and not have to worry about moving dorms every year and stressing her out