16 to17 rim change

I have a 2000 Yukon, new body style 4 door with 4 wheel drive. I am running 245/75/16 tires with standard factory rims. I got a set of 17 Denali rims I want to put on. One dealer told me I can't do this and not mess up my ABS and speedometer, one said I had to bring it in and have it checked to see, and one told me to put them on they do it all the time with no problems.
All three local tire shops say I need to use 275/60/17 to not cause problems. Any help??? I am looking at Michelen cross terrains, any other good ones? Thanks, Trent

this should work fine but you will have to get the computer retuned to match these specific tires and rimes. once you change consider a hipertech programer which runs about 300 bucks on ebay. let me know if this helps