You realize that if you update your PS3 to get on PSN after all the Jailbreaking you did, there is a very good chance Sony might issue out a banhammer in the near future for any system that ran the jailbreak.
So you would have updated for nothing as your system might get banned anyways, why lose the ability of jailbreaking if your system might be banned from PSN anyways? Then you lose it all if that happens. And it could very well happen.
Do what I did, get yourself a 2nd hand unit for online purposes. I bought a used PS3 on eBay with a bad lens, why a bad lens? So the cost would be cheaper, I spent only 102$ for a unit that works perfect, only the lens is bad, then I swapped out my good lens from the jailbreaked system into the used system. Now the system can get online and play COD.
Jailbreaked systems can play games without a disc in the drive, soon there will be an update where all games will work without a disc, rendering your blueray drive useless. Thats why I pulled out the good lens, and put it into the system I bought on eBay.
Now I am ready for Black ops.
You update your system you are risking a ban, Sony will know you ran jailbreak. Its a risk. But good luck with whatever you do.