Hello, potinglin..
First, let's start by saying that they are two completely different products in the aspect that the one (BD) has a firewall and the other does not.
I would personally choose 360TS since its detection rate is almost perfect and while it uses lot of memory (with all engines enabled), doesn't cause any system slowdowns. Also, BD has lots of false postives. Finally, TS is free, while BD a paid product.
But if you have a license for BD, don't waste it. Both are great products and will keep you protected..