One of these should work for you.
I like using WeTransfer for uploading video files 2 Gb or less at a time. WeTransfer is web-based and fast.
Dropbox -- can't you still get about 7 Gb or so indefinitely on Dropbox for free?
I still have the same free Dropbox account that I got many years ago when it first began. I found out how to get more Gb for free and got it up to 22 Gb which was the max, and I still use the same account.
Copy was another app that came out just after Dropbox, and I think it gave 50 Gb. I don't know if Copy still exists.
Uploading to YouTube, making it private, and giving your video link to the client might also work.