My Online Computer Tech

Hello.
My computer came with a copy of Norton Internet Security already installed. I then installed a copy of Zonealarm Security Suite.
I have the two running together, however the ‘Anti-Virus’ portion of Zonealarm is off and I can’t turn it on because Symantec Antivirus is on! Now, as the Norton pack came with the computer, parts of it - namely the anti-virus - are now expiring, but I don’t want to pay to renew them.
So what should I do?? I kinda want to completely uninstall the Norton package so the fully-functioning up-to-date Zonealarm can control every aspect without Norton getting in the way.
Firstly I don’t know how to do this, and secondly…is this really a good idea?!?!?! Or am I very confused and delusional?!?!?
Any help much appreciated - if there’s anything else you need to know just ask! Points will of course be awarded to those who can help me with my Internet security!!!
Thanks so much!

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