In the past I have owned TV's that had built-in DVD players or built-in VCR's, and as sure as I am that I'm sitting at work right now not doing work either the TV would go out OR the DVD/VCR would go out... but NEVER would both go out at the same time. IMO this leads to cost issues down the line--it's far cheaper to replace one or the other, but to replace both at the same time when only one is really broken is an inconvenience I can't bear.
Separate the products and purchase based on the strengths of each, rather than compromising on a middle-of-the-road solution where either feature could go out, rendering you with an inability to fully enjoy the solution.