I have the opposite dilemma. My CD player is playing up and I am just left with a decent amp. Plug my iPod in at the moment but am thinking of getting a wireless streaming receive, like an apple airport express and not bothering wight the cd at all.
For your situation I would definitely look at Denon’s mini hifi range, I think they do something cAlled a Ceol or similar which will stream from Internet, spotify, iTunes etc and act as an iPod dock. Seems flexible enough to work with non apple products. There systems are usually very good sound quality and certainly they are neater than a separate amp.
http://www.whathifi.com/review/denon-ceol-piccolo
Have a look at the link above. I think they are between £250 and £300, so a bit more expensive than just a budget amp. Other option is to go for an av receiver as above, thus can often now stream Internet radio and play music from iPods etc, as well as havin plenty of power/flexibility.