It depends on what your BIOS settings will allow if you want to use both the GPU and the integrated graphics.
But, you should just get an adapter that will allow you to plug both TVs into the GPU. That's the simplest solution and will probably have the best performance.
If you have another HDMI port on your GPU, you don't need an adapter - just another HDMI cable.
If you have only DVI ports left over on your GPU, then you need a DVI to HDMI adapter:
http://goo.gl/dfMVos
If you have a DisplayPort ("DP") left over on your GPU, then you can use a DP to HDMI adapter:
http://goo.gl/j2Sl5h