Pioneer HU and 3 Dash Speakers

I am planning on installing my Pioneer DMH 2660-NEX with a 4 channel amp and a mono amp for the sub. My question is, the 3 dash speakers, what is the best way to hook them up? I am running 2 JL 6x9's and 2 5 1/4 JL components on the 4 channel amp. Will the head unit run them fine or will they make my sound muddy since I have higher quality speakers in the doors? Maybe I should just disconnect them until I get better speakers to replace them?

Thanks for any help!

 

I run my Pioneer dash speakers right off of the head unit. I run 2 amps and Fosgates in the doors. The Pioneer head units put out a descent amount of power.