You can at least help me identify some of them.
First of all, people help out here because they want to; not because they have to. Nobody gets paid here. At best, you can get our best guess. Most people only ask about one or two rocks to be identified - you're asking for 26. That's considerable.
I need to know what types of rocks they are before I can tumble them.
A simple test is to take each rock, one at a time, and rub it against a piece of cement block, first lightly, then slowly getting harder. As soon as you see the rock start chipping off pieces, set it in a pile according to how much pressure you were using. One pile for "light" pressure, one pile for "medium", one pile for "hard" pressure, and the last pile for "very hard rock/will not chip apart". You now have an idea of which rocks can be safely grouped together in a tumbler.
Will the vibratory polisher work for the really large rocks, because I see videos on youtube with a lot of small items in these vibratory polishers?
Ah, I see you haven't read the site yet. Most of what I know, I read there. Vibratory polishers can polish larger rocks, up to the size listed for given machine. In a vibratory machine, you can work just a single rock. You can place a single rock in a tumbler as well, but somehow it's just not the same - the ends of the rock don't get worked as well. ...Anything I could say would be MUCH better worded and more clear on the short articles on the tumbling site.