As Harm stated, you'd still need a major hardware upgrade just to even run Premiere Pro to most people's satisfaction. No system with a dual-core CPU - not even a desktop - performs as fast as even a mediocre-performing quad-core CPU-based system. (For example, I got a dual-core i3-2100 system to achieve around 500 seconds total in the PPBM5 benchmark - but it took a GPU that costs significantly more money than the CPU, RAM and motherboard combined to achieve that result.) And since both of your laptops have only dual-core, low-clocked CPUs and lack any NVIDIA CUDA GPUs whatsoever, expect either system to perform at least 40 times slower than a fast i7 desktop Windows 7 PC.
So, in your case, given your current equipment, it would be more like "slower" and "slowest". In fact, the AMD Turion II can barely even run Premiere Pro at all since it performs slower than most of the Intel Core 2 Duo systems (both laptop and desktop).
