You're welcome. So you own a computer for less than a year, but you use specific technical terms like "flashing"?
Anyway the flashing is very easy. Just download the mentioned update and execute it while the E160 is plugged in. The rest will happen more or less automatically. The only requirement of the update is drivers being installed. But if there's a previous version of Mobile Partner installed on your computer, these required drivers are already present.
Regarding the E220 you should be able to run
this official update from Huawei. Again it is important drivers to be already installed for the E220, as otherwise the update won't be able to detect it.
Please notice, that in both cases the update will only replace the setup files in the flash memory of the modem. It won't affect the already installed software on your computer. So in order to make use of the updated setup files you'll need to reinstall Mobile Partner from the flash memory of your modem. Only then the existing version of Mobile Partner will be updated.