Regarding the Busy Bee 9x19 model, it's the basic 9x20 that's been around for years. They don't seem to offer it without the cabinet/stand, although most other sellers do.
Since the 9x19 lathe is a benchtop model, and not very heavy, you might ask someone at Busy Bee if you can get the lathe without the base cabinet/stand. I have read comments regarding that cabinet/stand, and several owners complaints were about the need to raise/block it up because it was too short.
I got my 9x20 without the cabinet, and found that a plywood and 2x4 table approximately 24x42" (glued & screwed) was adequate for placing it on. This table height is 32", and then the lathe bed was on two sections of 4" square tubing risers. This is a reasonably comfortable working height for someone about 6' tall. It could be better a little higher, to get the spindle at about elbow height.
Without the risers under the lathe bed mounts (shown near the bottom of the webpage), there isn't much space under the center of the bed for hand tools and miscellaneous stuff.
In comparing the 9x19 model to the 10x18 (without a stand), notice that the
9x19 has a quick change gearbox, while the 10x18 does not. The lever on the apron of the 9x19 has two feed rates/speeds for turning and threading.
When someone had mentioned the 10x18 earlier I thought the price they referred to was a fairly good deal (I for get who that seller was), and I checked to see if Grizzly had the 10x18 but they don't. That's when I noticed that it didn't have the QCGB. The 10x18 is a gear head lathe, so it would be fairly important to examine the number of ratios for the longitudinal feedscrew, and to see if the apron lever has two feed rates/speeds for turning and threading.
The 9x20 is a popular model, as I think you have already found out from the DC motor discussion, but has one big problem. The plate that mounts the top slide/compound feed is a bad design (which leads to a lot of tool chatter). This problem has been addressed in many ways (which are available on various personal webpages), and this was the wasy that I corrected that particular problem:
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The second problem is the minimum speed being about 160 (Busy Bee shows 130 for the 9x19). I haven't converted the 9x20 to a DC motor yet, because I purchased a larger lathe shortly after getting the 9x20, and began using the larger machine which led to converting the larger model to DC.