That is possible, but It will limit your options, especially when you are renting a fully furnished and furbished property. Note that the Dutch are fond of animals but bringing cats/dogs can limit your possibilities, so be aware of this.
Pets such as cats and dogs need to be approved by the landlord or owner. Most apartments/properties have regulations that do not allow any pets and many landlords are reluctant to accept them. Most owners if they do accepts pets, will require that you have the property professionally cleaned at the end of the lease agreement. It will be written into the rental agreement.
