It is your surround sound in a box system that is the problem.
It doesn't have HDMI inputs. As well, even if it did, it would still have trouble doing well, because it doesn't support many of the surround codecs. Some sites say it doesn't even support a few of the old ones.
If you want to try and use it anyway, you will have to use an optical cable. It appears that the unit supports optical inputs. Don't pay a fortune for this, though. Get it from Bluejeans Cable. They will get it to you in 2 business days, and it will be way better than you can find in a store, for a way better price.
What you will need to do, is connect the optical cable between the receiver and the PS3, and connect the HDMI cable between the TV and the PS3.
Then, you will need to go into the PS3 menu, and tell it to set itself up to send video over HDMI. Then, set it up to send audio over it's optical connection.
Bingo, you will have whatever surround sound that receiver is capable of generating. I'll tell you up front, though, that it isn't capable of much.
In the future, stay away from any "surround sound" solution that comes entirely in one box. That includes Bose. If you aren't buying things separately, you aren't getting the simplicity and performance others enjoy.