To add to Lino's comments. The Uniden is also computer programmable which makes it more versatile. I have a Yupiteru 7100 and would never part with it. However, manually programming 1000 memories is not the most enjoyable process.
1+ for Uniden mainly due to computer programming, Close Call, better display. Yupi great all round receiver hard to beat but time to move on. Get proper Air Band antenna eg Watson WSMA 901 and free Scan 125 software, it will help.
I had a BC125AT about 5 years ago, and I was not impressed. When compared to my BCT15X base/mobile, the BC125AT failed miserably! I was using the same antenna and location, date, and time, and frequencies. I think there was possibly an actual hardware (not firmware) change back then, but I could be mistaken and that might explain why it didn't perform well.
Most of the reviews are great however. Some swear by them, others swear at them. I may have had a defective one.