I've used my microscope mainly for looking at yeast cells. A yeast cell is 8-10 um in diameter. However, I did mainly cell counting, viability counting and assessing cellular glycogen levels using staining methods.
To actually look INTO the cells, study cell membraners you really need an electron microscope. And I'm not aware of anyone having a electronmicroscope at home :) I payed only 120$ for my microscope, but it was one of those "noname" brands.
The main issues which cheaper microscopes are
- limiting optic quality. This you typically notice at the highest magnification. Mine goes up to x1000, but really only decent up to x600, which happens to be just enough.
- the other factor is poor mechanics, meaning it gets kind of shaky or drifty at high magnification. So stay away from plastic. A heavy solid model is always better.
As for digitalization I mounted a regular high end dig cam on the eye piece of hte microscope. This gave me much better pictures that the low res cam that came with the microscope. This is also how I tried to assess glycogen levels. I tried to quantify the colour intensity after staining with iodine with the RGB codes. Worked well enough for my purposes. This also works with video cameras. It's a bit of tweaking to get it aligne and focus, but for mos eye peices it actually works and the result is decent. Even for cell counting, I never counted live in the microscope, I used a cell chamber - took a digital shot and counted in photoshop. Then you also have documentation.
Toystore microscopes are typically plastic crap (I know I tried them to

. But some lab companies focus on hobby levels work. They often have decent hobby level microscipes that are enough for counting.
I just googled, and it seems a sperm is quite small. In particular to see clearly the tail movement, I am quite sure that x40 sounds insufficient. My guess is that you only see only dots. To count and stain cells you can do with less microscope quality than if you want to assess shape and looks, then you need detail.
I know I t ried to look for bacteria in the yeast, but with my microscipe that was really hard. The blurring resolution of my scope was a bout the size of the bacteria.
/Fredrik