larger rims will there be a problem
Pretty much correct. So, if you put 17s on the front, and 18s on the rear, you need to mount tires that are close to the same in OD.
Example
16x8 stock = 245/50/16
17x8 = 245/45/17
17x9 = 275/40/17
18x8 = 245/40/18
18x9 = 275/35/18
18x10.5+ 315/30/18


