Hi,
each vendor has his machines and commercial proposals, some propose building and setup services... so there is lot that could be discussed
Now on the technical point of view:
If yu never had a multirotor and are not used to Rc models, the best advise hs been written in earlier post: get a F450 or 550, and learn from it. Additionally, register to a local AMA affiliated flying club where you will find help and be able to fly with safety and even buddy box in some clubs to learn how to fly. If you plan to use a Mikrokopter board, then you can use a simple Mikrokopter quad frame, with 4 bl controllers and use the MIkrokopter board but it will ot be as easy to build and setup as a DJi naza... Most important is to take a transmitter and a charger you can keep
As long as you are not able to fly all directions safely ( nose in included), it's not worth willing to fly anything larger and definitly not a camera under a multirotor ( safety...)
Once you would get used to these, and become familiar with changing mtor shaft, props, make solderings, programm your transmitter... then you can move and upgrade with a better flight controller. YOu have to know that whatever controller you will choose will be a real challenge: most of them can fly approximatively " out of the box" but they ALL, with no exception, need fine tuning and presets depending of the payload / camera taht will need to be done. I know some companies that sell " full ready to fly" solutions but once you are alone with your UAV, you have to cope with it

Hopefully, some good vendors will bring you support and solutions.
Regarding the Transmitter, you need a multirotor " supported" transmitter by the community and i think that saying you shall look after Graupner MC 20 / MX 20 would be a good start: the trasmitter has all Mikrokopter telemetry built in and Graupner gives the protocols and technical documentation to the manufacturers who ask for it ( we asked it for the flight controller we developped and did get the complete telemetry and protocols documentations within 24 hours !!) . Also, HOTT system is very reliable, with a GR 16 receiver ( Sbus or Dbus, meaning just one wire to the controller that carry all the channels + one cable for telemetry) you ave up to 2000 meters radio efficiency. With a GR 24 you get up to 4 kilometer. and now the have the GR diversity, top of the range, offering really high reliability..
Also, Graupner transmitters ( Hott series) offer a very nice feature : you can " bind" a buddy / trainer transmitter, wireles, or even use a standard MX10 transmitter for examle and use the SUMM signal of it's receiver to plug in the trainer port of your own transmitter. This way, you can control the gimbal when taking off to adjust the camera position ( lens up) and then give control to the cameraman once in flight.. We uses this and it works pretty well
Regarding the video converters :
Black Magic also offers mini converters, one of them is SDI to Analog and catehs up anything SDI, including HD SDI ( 3 gb). IT converts to Alanog and you can switch the Y/P/B to svideo and composite also with this unit. In a few words, you need only one converter and an analog small transmitter.
Regarding frames : well here, as i'm involved in the business , i prefer to remain silent as i want to stay neutral as i'm on this forum as a " tourist". Just read the forum, and listen to the ones who know, i think there is enough informations that you can cross to make yourself a good idea of what you could use in the future, once you are comfortable with multirotors building , setup, use and maintenance. To be honnest, a multirotors is jut 2 plates, some arms and motors and props and a gimbal... A 5 years old child could assemble it. Then, to assemble it correctly you need some patience and common sense, but not an engineering degree. Once you start to go in the electronics setup, tis canbecome a large headache and this is why you need first to get used to these with a smaller bird.
Finally, the best thing would be that maybe you try to find someone flying a multirotor "professionaly" and spend a bit of time to see how things are ( preparation of the machine, maintenance, usage..) before you take any decision. But you will need a camera / gimbal operator with you, all time, except i you just make pictures. For video, it's more than needed, to get good results, and also for safety. If you check your field monitor and something goes wrong or the machine approach from a obstacle, you will hardly be able to do something .
Operating such a machine is not impossible and is not so hard, as long as you start with the bases of.. RC multirotor and build up your experience step by step until you are comfortable with all aspect and responsability of using such hardware.
It's a nice project you have and with a bit of time, efforts and patience there is no doubt you will be able to bring this project to life
Best regards and all my wish of success,
Fabien