No need to buy from luckyzoom. They many seller to these scopes AmScope, Koppace, Louis' microscope (Yes Louis Rossmann), Efix, Eakins, Wozniak, Jyrkior, Sunshine, Yizhan, Minsvision, Lucky Zoom, GXM.... Almost every microscope in the market is the same. These microscope are made by same factory Manufactor is
http://www.yydag.com or
http://www.sunnyoptical.comJust pick one wich is right for you
https://www.aliexpress.com/wholesale?trafficChannel=main&d=y&CatId=0&SearchText=simul+45x+microscope<ype=wholesale&SortType=default&maxPrice=250&page=1I think that every newer models are simul focal. Also newest are black.
Camera mount: For camera my only recommendation is that get at least 1080 camera. Not hdmi 720p or some vga bullshit because of the price different is so small. For camera you need c-mount buy SZMCTV 1/2 and you will be good. If you want to use your own camera (dlsr) you can buy somekind of CTV adapter. Many cameras have also hdmi output so you can plug that in to your monitor. I have not reasource these things further.
LEDS: There are many different models but basically you want 144led version if possible. It cost little over 20$. But sometimes you can buy bundle which do not come with 144led version. It is up to you what to do. Remember to ask right plug for electricity. Here is video about 54led vs 144led.
There is also 46led version or something similar.
Eyepeaces: In default eyepeaces are 10x/20. I have not resource these further.
Lenses: I have read that almoust all use 0.5x lens. Some use 1x lens also call protective lens. If you realy want to buy 2x lens for the kicks you can do that.
This looks like good deal
https://www.aliexpress.com/item/32697462226.html but led is not the best. But you can but also 144led dimmable
https://www.aliexpress.com/item/4000078789996.htm 17,97$ if you need more.
For camera maybe 1080p camera 37MP - Eakins
If you want full package with awesome stand you can buy
https://www.aliexpress.com/item/33000718102.html this will be way over your budget.