I have two HD's in raid 0 configuration on one computer. Sometime soon, I plan to move these 2 HD's into a 2nd computer. The 2nd computer has raid, but its a different motherboard. Will it pick up the data on the HD's if set up as raid 0 as well?
Not likely. The only time I've ever seen software-based RAIDs be picked up by the OS is in Linux. Software RAIDs vary quite substantially in Windows between different implementations, and are quite fragile anyway. The best way to handle it is probably to move the data off the RAID onto another volume, rebuild the RAID in its new environment, and move the data back over. Sorry.
