Installing N360 on new PC

Hi all
My old PC died on me about 3 weeks ago and I have a new one arriving in about 10 days.
The old one was running Windows Xp sp3 32 bit with N360 (latest version at that time) with a local vault.
My Norton backup files are stored on an external hard drive.
The new PC has Windows 10 64 bit and Bulguard internet security trial installed.
Will these cause any problems when I install N360?

I would be grateful if some knowledgeable person could walk me through the steps I need to take to download N360 to new PC - preferably keeping my local vault.
Do I need to remove the Bullguard Internet Security?
If so, do I remove it before or after installing N360?
Thanks in advance