You ask for recommendation for "home use", but specify stationary (CD Player) and different mobile sources (laptop, iPod). The sources play audio files of different quality (red book cd, ALAC, AAC) and have different quality outputs. Any amp with integrated USB Dac will noticeable improve sound quality from a laptop. ALAC from iPod's line out, even more from headphone jack, is noticeably inferior to an red book cd player. It is not clear whether $250 is budget for headphone alone, or whether now or later there will be an additional budget for a headphone amp.
I am pressed hard to recommend anything above Koss PortaPro, Sennheiser Px 100 II (open, $50/70) or Sennheiser HD448 (closed, $100) for direct use on an iPod. Some full size headphones are just sensitive enough for use on laptop or stationary CD player (HD 595, open, $250). AKG 702 alone are beyond your budget and require an amp. And to utilise its full potential, it should be a good amp.
Nuforce Icon Mobile ($100) and Fiio F7 ($80) are about the cheapest amps with both USB and line input. Nuforce Icon uDAC ($100) only has USB input, hence no use with iPod or CD player. I am not sure whether there is any stationary headphone amp in that price range.
To then remain in the budget, I would go for an AKG 240 Mk II ($160, open) or AKG 271 Mk II ($190, closed).