I would keep the PM3394A.
I have a PM3394 combiscope and it has been my daily driver for more than 30 years. I mostly use it in analog mode and only occasionally do I need to switch to digital mode to capture a waveform. It is an easy-to-use scope compared to many more modern digital scopes as it has individual controls for practically every regularly used function and you don't have to navigate through menus every time you want to adjust a setting.
The advantages that the PM3394A possesses over the TDS350 are:
- Analog option which is nice for examining fine detail in waveforms and is generally more responsive to use
- 4 channels
- More digital capture memory (especially if you have the extended memory version)
- More flexible triggering options
- Easy to use controls
The disadvantages of the PM3394A are:
- ADC bandwidth is shared across 4 channels so you only get 50Ms/s with simultaneous single shot captures of all 4 channels
- Some of the math functions are only available with the MathPlus option, which only comes as factory installed
- Age - may be due for some capacitor replacements
I don't have experience using the TDS350 but its advantages would seem to be:
- Higher digital sampling rate which could be useful when making single-shot captures of very fast transients
The disadvantages of the TDS30 would seem to be:
- Very small capture memory. The memory depth of only 1000 points would seem to be a severe limitation
- Only 2 channels
Hi
There was a time, not very long ago (this morning in fact) when I would have sold my neighbours children for lab experiments to have the chance to own a PM 3394.

Today is the first time I have seen a PM3394 or a TDS350 in the flesh. Although I have not studied the PM3394 at all, I have certain expectations based on my experience with PM3070s.

I haven't really had much to do with anything Tektronix, so no defined expectations. First impressions were what a drab boring colour scheme and it doesn't have enough knobs, LEDs and switches to be a proper serious oscilloscope.
These two scopes have been inactive for quite a while, so I dare not apply power without going through my process. I built a test load specifically for the PM3070 PSU testing. I feel it is likely I can modify that for use with the PM3394 given their shared heritage (both Made in Holland).
As I expand my test equipment inventory, I try and fill capability gaps and eliminate (sell) redundancy. So after asking what should I keep, I ask myself, what should I sell.
One of the disadvantages of the PM3394 compared to the PM3070 is that the later includes the little PCB module that interfaces the rear BNC connectors (see attached image) to the main PCB. I transplanted this from the brown PM3070 because the white one looked so much better. I sold the brown one. (All that sounds really racist, but I am referring to oscilloscopes.) I am already wondering if I can transplant the little pcb again. I have never used any of the BNC ports on the back but that isn't the point.
The PM3394 doesn't have the GPIB option and the TDS350 does.. It would be nice if GPIB could be retrofitted.
The backup battery compartment is empty and looks like never used, so that is good.
So at this time I have chosen not to make choice.