(Thanks for the shoutout @XdStevie, lol )
Heya, I've made a few videos in the past and might be able to help.
Streaming doesn't really seem like the best option if you ask me, as Tower has a kind of repetitive nature to it. What I'd recommend instead if you want to make any sort of videos is Youtube. Just throw together highlights and clips of the best moments (which can sometimes be few and far between in Tower), so that your audience doesn't get bored.
As someone who makes videos once every blue moon, here's what I try to focus on:
Because nobody wants to watch a 100+ episode Let's Play of a Tower Unite player walking around the lobby due to the inevitable repetitiveness, get some people together and have an event of your own! Something nobody's done before, like the Bone Zone or some kind of celebration. Originality is key.
Meta-gaming (Speedruns, competition, etc.).
See just how good you can get at Minigolf, Ball Race, or other gamemodes and perfect it. Edit together a video of your best runs! Sometimes competition can breathe new life into a game.
The most popular videos about Tower all have one thing in common: lots of people. Get some friends together or ask around if anyone wants to help you make a video for Youtube, plenty of people will happily say yes and you might make some friends along the way.
If you're feeling particularly creative, you could always take up writing a script or creating scenes to film within Tower. The Bone Zone is a lightly scripted show with planned events, and has been a blast every year so far. The Lich (Host of the show) and Skeleman (Co-Host) each have distinct personalities when filming the show that usually get a laugh out of everyone.
Most importantly, Don't rush anything.
There's no pressure. If you feel like something might not be funny enough, you can always revise it or choose to leave it out. If you can't think of an idea for a video, you can take inspiration from others who have made videos about Tower.
Also, a word on the technicalities behind making videos:
Have the right hardware and software
Producing any kind of media for the internet nowadays should at least meet some sort of standard. Your videos won't be nearly as well received if they're shot in 24FPS and uploaded in 480p. Try to render at least in 720p with a decent framerate. Know your editing software well, and you'll make great videos. If you need help with editing or recording, just send me a PM through the forums.
(Disregard if you've already got a decent microphone.)
This is important as well if you're doing commentary. It might get hard to listen to a $20 microphone from Wal-Mart over a long period of time, so invest in a decent mic and it'll last you a good while. The Blue Snowball is a fantastic USB mic for starters and it's under $80.
That's about all I can think of off the top of my head,