Do it just like you said, give it a week at least before you start adding other things in. Add in chicken first, you could probably get away with not eliminating it all, your choice. 48 hrs is a minimum, go longer if you can, up to 4 days. Rotate the veges the first few days. I for instance had a problem with kale and celery. Highly unlikely for most, but possible. Some people report feeling terrible for the first couple weeks on an elimination diet before feeling better than they had in years.