turnign off icloud and signing in with new id BUT KEEPING contacts!!

Per the instructions below, if i turn off the icloud on the computer and back up all the contacts, calendar etc... and then sign in with the new id it will ask if i want to merge the existing contacts...will they then all be there on my phone too when i log in with the new apple id??

iCloud

Moving your iCloud data from one Apple ID to another is achieved more easily on a computer than it is on an iOS device, indeed certain aspects of the move can only be done on a computer. However, whichever device you choose to move your data on, you should do so by turning individual iCloud services off one at a time and not sign out of the account until all services have been turned off and dealt with. (Settings > iCloud on a mobile device and system preferences > iCloud on a Mac).