At 128kbit most people can hear a difference between MP3 and uncompressed sound (if they try hard). At 196kbit only few people manage to do so. The vast majority of MP3s are 128kbit, but recently 196kbit is seen quite often, too. Higher bitrates are quite rare.
Converting a MP3 to a higher bitrate is not possible without the original, uncompressed music. That is, it is possible, but it would not raise the quality - once lost during compression, there is no way to regain the quality - that's why it is called LOSSY compression.
Converting a MP3 to a lower bitrate is possible, but not recommended. The artifacts (ie differences created due to lossy compression) of the MP3 you want to convert are made even worse. So, compressing an original to 128 and then 96kbit yields worse results than converting it from the original to 96kbits. Of course, you might not hear it, that can always happen with MP3s.