Need tire fitment advice, going from 17" to 20"

[Derick2k]

Hi All,

I want to get some new wheels for my '06 3.0i X5, going with a staggered look, and i am jumping from the 17" stock wheels to 20". I got the following sizes from the shop, trying to get the tires on my own as they are charging what I think is too much.

The wheels sizez they told me are as follows:

Wheel Size:
Front 20 X 9.5" with 45mm offset
Rear 20 X 10.5 with 30mm offset

Bolt Pattern: 5 X 120

Hub: 74.1

What tire sizez will fit these??
Do I need hub centric rings??

I was thinking of getting some Toyo Proxes STII .