eeek my filter died what to do?

I have a 10 gallon which had an internal filter in it until it broke yesterday Last week I was given a really powerful air pump and I seem to remember being told that you can get filters that are run by airpumps? Are these any good? Should I just go for another internal pump..if so does any one have a suggestion for a good(CHEAP) one? Also should I leave my old filter sponge in or eill the bacteria just die with out good aeration?

I have asked about these before but that was pre board clean up and the response has gone

Thanks in advance