Bass will be fine. The difference between those Labtec speaker and the Aego's will be huge. Everyone has their own opinion on what is good, or not, but there is no doubt the quality difference between what you have currently, and the Aego's will be significant.
The question about the Aego's bass would be more significant, if you currently had a set of 2.1 Logitech speakers. People that are used to booming bass, might find the Aego's would have less bass. The Aego's will have a better quality of bass though, less boomy. One problem I have found using various 2.1/5.1 speakers, is the satellite speakers don't sound as though they are connected to the subwoofer. It's not noticeable with games and films, but music, it sticks out like a proverbial sore thumb. While the Aego's will have what appears to some to be lesser bass, the overall sound will have a better balance, and balance is key to decent 2.1 speakers, especially if they are to be used for music.