Moving with Dogs?

I’m a single 33yo female, originally from Russia, now a US citizen, considering taking an engineering role in Barcelona. I expect the job would pay well/upper middle class. Is there any way to move my 3 dogs with me? I saw that finding a place with one dog is hard enough so is it impossible with 3?

All are microchipped, neutered, and up to date on vaccines.

Dogs are: 1.5yr old mini poodle (20 lbs), 4.5yr old mini golden doodle (35 lbs), 5yr old cockapoo (30lbs)