The major issue here is that you sample all sensors at the same time. Then during the sampling time you select them one by one and convert them by an A/D converter to digital values after which you can store them in the memory of a microcontroller.
So you can use simply a microcontroller with multiple analog input channels equal or greater than that your readings. It is important here is that you sample all the readings of the sensor at the same time and be sure that the A/D converters are fast enough to make the conversion before the the coming sample.
Another very simple solution is to use a data acquisition card for example for national.
It can be interfaced to your Laptop directly and acquire simultaneously many signals according to the card capabilities.