Well I'm not really expecting a flat trace, but this seems like an erratic thing. It will be mostly okay for a few seconds, then bam! A jump upwards or downwards for a few seconds, then bam! A jump in the opposite direction.
This is definitely worse in the first two division settings of each range before the relay can be heard switching to a higher voltage setting range. In other words, the lowest setting of 20mV/division is bad, and so is the next one, then it's a good bit better until range is increased to 1V/division - at which point the relay can be heard switching to that setting range. Then it's awful again for 1V/division and 2V/division, then a little better until the relay switches range again.
At 1V/division with a ~2.1V RMS (~6V P to P) 60Hz sine wave, the mean voltage is jumping around 400+mV erratically. My bench scope with the exact same settings is staying within 4mV, and is WAY more stable. I could totally understand a little bit more wander in a handheld scope - but this seems hugely excessive to me - especially when some ranges are way better than others and the scope is rated at 2% DC offset accuracy.