Famous in Dubai are Atlantis the Palm and the ultimate Burj Al Arab, while in Abu Dhabi The Emirates Palace is a close second to the Burj.
Shopping is fantastic in both destinations, however we would recommend a shorter stay in Abu Dhabi for your two centre holiday.
Airlines to use are Emirates and Qatar. Both are something different with Qatar airlines in the top 5 airlines of the world. Your multi centre holiday could take in both Dubai and Abu Dhabi before continuing further East to Asia or South to Africa.