Anyone know of a good web site I could subscribe to that will let me put in
some home videos to share with family? The ones I know of make you put the
video in such a small format you can't really see anything in the video.

I think you'll find all the free ones have trade-offs. Both small
frames and highly compressed. It's just that video takes a lot of
bandwidth.

No question a better way would be to make DVDs and just snail mail
them.