This camera supports an MS Duo|MS PRO Duo|MS Pro-HG Duo|SD|SDHC|SDXC memory card, which is the most frequently supported memory card on cameras of a similar age and spec to it. SD cards are by far the most common type of memory card. They are compatible with the majority of digital cameras.
Other digital cameras that support an MS Duo|MS PRO Duo|MS Pro-HG Duo|SD|SDHC|SDXC memory currently available which you might also want to consider include because of it's better review score, the DSC-WX50 ($163.49), the DSC-W730 ($136.99), or the DSC-WX50 ($163.49) all from Sony.
If the memory card type of this camera is too bad for you then you might want to look at the Sony DSC-W810 (MS Duo|MS PRO Duo|MS PRO Duo HS|MS Pro-HG Duo|MS XC-HG Duo|SD|SDHC|SDXC and higher rated).