I did something similar when I moved. Especially after the slide projector broke. I used an Epson V600 scanner and made adjustments with PS Elements and Lightroom. I then use PS Premiere Elements to make slideshows with music, titles, credits etc. My early "shows" were saved as 1920x1080 onto DVD's. But now with UHDTV, and adding digital movie clips at 4k, I'd make slides to match 4K or the equivalent of 2180 pixels high. (UHDTV's are 3840x2160 pixels) Then store on memory card to playback directly on the smart TV through the USB jack. I don't bother with DVD's any longer. If I want other including relatives to see it, I download the video to Youtube. YOu can set it up so it's private. That way the public can't see it. Only friends and relative you gave the access code too. This is a good method for digital slide shows as well.
You can skip Premiere videos and just make a simple slideshow without music, narrative, captions etc. And let the TV or other program just show the slides in sequence like your projector use to do. But frankly, jazzing them up in a video program makes them more interesting to watch before people fall asleep or fake a headache and say they have to go home early.
One other thing I'd like to suggest. Although I didn't have as many carousels as you had, I still found the quantity pretty overwhelming once I got into it. EVen with ICE in the scanners which takes out most of the dust spots left on the images after the scan, there was still a lot of cleaning up to do. Getting the colors right, exposures, etc became overwhelming. So I decided to cull a lot of pictures. I went through each carousel eliminating duplicates, bad shots, and stuff that just did not have to be preserved. That saved a lot of time. Film scanners are made to spot out the dust, and even automatically set the colors and exposure correctly during the scan correcting even faded slides if you have them. I've never done camera copying so others would have to add their comments how to handle that if you use their process. Whichever process you use, make sure you really review the final result on a dozen or so images. You don;t want to do the whole batch and realize you missed something important and have to start over. You'd rather blow your brains out then do that, I assure you
It's going to be a learning process. Be patient with yourself. I didn;t get it right the first time and still make mistakes.
Here's a sample of a video I did of 35mm slides. It's called Scuba Diving Key Largo... It's one of the first one I did. SOme of the white are clipped I think either because of the process I was using or the film exposure itself. I decide I didn' want to redo everything. That's why my previous suggestion of getting the first dozen shots a perfect as you can. You don;t want to re-do stuff. It's too frustrating. The other slide shows on that link I used digital pictures and also some short video clips in some also (Fire Academy movie). But these should give you an idea of the benefits of creating videos of your slide shows. But you of course have to start with the digitizing slides. Good luck. YOu might want to post a few of the first dozen to get feedback before you continue with the rest of the scans or duping.
https://www.youtube.com/channel/UCDzogShfhgCHh2rVvEsFOJQ
