Deleting files in Dropbox folder & desktop

I have a Basic Dropbox account that I use occasionally to send video files (usually <1 GB) to friends & fam. No other users, as in shared accounts where multiple members can work on a joint project. b/c I am limited to 2 GB, I must occasionally remove a large file to load another, but "deleting" within Dropbox can be confusing. I want to remove a file from the cloud & substitute another, but depending upon how my account is set up, or how I delete, I see words like "delete from all connected devices", sounding like the Dropbox action reaches into my desktop computer to delete the original file that I want to maintain. Syncing seems to be part of it, but I cannot get any "sync icons" to appear next to my files, like "Available Offline".

I simply want to load files into the Dropbox cloud, send a link to folks & then remove it a week or so later w/o deleting the original on my desktop.

Or, alternatively, is Dropbox too big of a "cannon" for my "pea shooter" needs? Recommendations?