They will work fine, most modern dies are 7/8x14 thread and that works in almost all presses. The shellholders are the same type too. I found I used Lee dies in my RCBS so much, I ended up buying Lee presses and now my Rockchucker is lonely..
Older equipment and some Dillon progressives use different die and shellholder types, also 50BMG and other huge cartridges are a larger thread. Some presses like the Rockchucker and Lee Classic Cast have a bushing that comes out, so you can do stuff like .50BMG, or leave the bushing in and use normal dies.