So, I've been going outside for the past couple days to get what photos I can, in case it's cloudy the day of the actual conjunction. Turns out that the two already look great, and after a couple of days of fiddling around with taking the actual lens off of my camera and trying to take photos directly from my telescope's eyepiece, I managed to snag some not-so-bad photos today.
You can see some color on Jupiter, three of its moons - four, maybe five "if you squint", as they say - and the rings of Saturn are pretty clear. I was able to see five of Jupiter's moons, I think, through my telescope, and one of Saturn's, but photos always degrade quality. This image is a composite of a couple different photos - I combined them in a pretty odd way, to say the least, and did some "cheating" with cropping and scaling. But, for less than an hour of trying to get photos, I'm satisfied with the result. Hopefully I can get some better stuff tomorrow and in the following days as well!
(For reference, this is using a Canon Rebel T3i, which is a nearly decade-old camera, and my eyepiece isn't phenomenal. I'm also using a 10" Dobsonian telescope for all of these photos. My exposure times on the various photos range from 1/600 seconds to 1/10 seconds, and my ISO ranges from 800 to 6400.)