"Therefore, for the time being, I can use the CMC with the 705s."
There's no reason why you can't use it. It should be a good choice.
"In addition, could you kind people provide some suggestions for a good AVR to use with these? I would like an AVR for budget reasons; because while the primary use for these will be music, occasionally I will watch TV/DVD/Netflix; and because I know nothing about (nor can I afford) “separates”. I assume the AVR will need to have HDMI, correct?"
Given your speakers, I would just wait and get separates when you have the money. A receiver good enough to properly drive your speakers will be expensive anyway.
There's no reason why you can't use it. It should be a good choice.
"In addition, could you kind people provide some suggestions for a good AVR to use with these? I would like an AVR for budget reasons; because while the primary use for these will be music, occasionally I will watch TV/DVD/Netflix; and because I know nothing about (nor can I afford) “separates”. I assume the AVR will need to have HDMI, correct?"
Given your speakers, I would just wait and get separates when you have the money. A receiver good enough to properly drive your speakers will be expensive anyway.