Offset for integra!

What offet do I want for a 17x7" rims that has 205/40/17 tires on a 98 integra with H&R sport springs?

at least a +38 and you should be fine.

Will a +38 stick out futher then a +42 ? Or is it the other way around?

a +42 will tuck inwards a lil more. but on the h&r sports you wont have to worry about rubbing anyway, h&r race springs maybe but not the sports.