Assuming both you and the camera will be stationary -- e.g. camera on tripod, you seated -- you can get away with almost any camera, assuming you also buy some decent lights and audio gear and use them properly.
It's only when motion is introduced (of the camera and/or the subject) and/or when you cannot setup ahead of time or do multiple takes (e.g. "live" events.) that certain camera features come in handy.
Of the cameras you mentioned, there's no need to spend as much money on a 60D or T5i. A T4i will do just fine. Heck, you could probably even shoot something like this on an iPhone, although post wouldn't be very convenient. In any case, spend the extra money on (LED panel) lights with umbrellas or diffusers and a lavalier mic (and maybe a TASCAM D40).
Full disclosure: I own a T4i - Mark
So I see many, many different articles and posts pertaining to this question, though just about every single one of them was answered according to a few variables of the question poster. I have a very, very unique situation in which I won't have the luxury of a "do-over".
I'd first like to point out that I'm not experienced at all. I'm a salty 32 y/o paratrooper veteran who has spent my life in either the army, the hospital as a disabled vet or the academia environment, trying to set a positive role model to my children. The only familiarity I have with photo/video, was from a film-making lab that I took back in college.
Unfortunately, I received some pretty bad news not too long ago; I'm sick and dying. I'm sure that I at least have a few years to go and this whole dying thing wouldn't be so bad if it just solely affected me. However, it won't just affect me, as I have a small little boy to whom I have been both mother and father to. We are attached at the hip and have easily become best friends. From the moment he came out of his mother's womb, I fed him, clothed him, rocked him to sleep and bathed him. I was literally both his mom and his dad. The only parent that this sweet and affectionate blonde-haired and blue-eyed little boy has ever known, will soon be gone. I'm going to try to shield my precious little son from as much hurt and emotional turmoil as possible. I don't want my passing to negatively affect his life.
So, I was to document my life through photos and video. I first had noticed that the only photos of me, were taken when I was in the army, dirty and deployed with weapons in my hand -and of course, that steely eye'd look that war eventually gives to anyone. It's hardly the photos that I want my son to remember me by.
However, my big plan was to document my life from beginning to end through video. Maybe give a bunch of interviews, where it would be like I'm talking to my son.I can tell him who I am and where I came from in ways that he can better understand as he gets old. In addition to telling him who I am, maybe I can give him advice that any normal dad would be able to give, for a whole range of different potential issues. I was also thinking about maybe reading a few children's books, so his children and my grandchildren may still get some benefit out of me yet, even after I'm long gone. I just think that this is the best way to break up our attachment when it comes time for me to pass.
However, I'm completely dumbfounded as to whether I should go with something like a DSLR (60d or Rebel T5i) or a dedicated video camera. I was leaning more towards the dedicated video camera, but they seem to be more expensive comparatively speaking (where I simply do not have the budge to get a good quality one) and being able to take good snapshots might come in handy. So I guess that there are trade offs for both and this is kind of where I'm stumped. I'm working on a limited budget and need to get this right. What would you guys recommend for a situation like this? DSLR or dedicated video camera? Also, I'm a pretty fast learner, especially with such a big motivation to get this done. Any and all help would be greatly appreciated.