UMass-Amherst & Tufts Affiliation

Hi everyone! I am currently trying to decide between the University of Delaware and UMass-Amherst for college (as a pre-vet major). They would both be about the same price, however, I got into the Honors Program at Udel and not Umass. Anyways, I saw that Umass has an affiliation with the Tufts Cummings School of Veterinary Medicine (my ultimate dream vet school) and I was wondering if it would be wise for me to go to Umass then. Would I have a better chance of getting into Tufts Vet school (or any American vet school) having gone to Umass or are both colleges about the same? Also, does anyone know how hard it is to get into the Tufts DVM program through sophomore admission program at Umass?