Are the new rims wider than the previous rims? If so, you've increased the total volume chamber even if you are using the same tire. I've experienced this with same tires on two different width rims. In my case the wider rim needed much less pressure. Once I found the happy PSI, the changed profile of the tire on the wider rim feels much more stable when cornering.
I see you've stated that you will experiment with pressure. Let us know what you discover. I'm curious to hear about other people experience.