Here is the second vine which has 2 different leaves. Maybe 2 plants intertwined?
The three leaves look like Poison Ivy to me. The second type of leaf looks like a maple shape. They are growing up a privet and Rose of Sharon hedge.
There is a group of Rose of Sharon leaves on the left.
The plant with the three leaflets seems structurally like poison ivy to me, although the leaf margin is usually asymmetrically toothed in poison ivy (at least, when I've seen it). The plant with maple-like leaves looks like Parthenocissus tricuspidata.
I guess no one is that familiar with the behavior of the pesky Boston Ivy. It often presents itself with "leaflets three", though most know it from the one large simple leaf that kind of looks like a maple leaf.
If you are intent on deciphering your botanical riddle, put on some gloves and trace each style of leaf (compound leaflets of three and single simple) back to its attendant stem.
Then, check how that stem is attached to what it is climbing on. Parthenocissus species have a whole different way of clinging and climbing than poison ivy.
Check back in if you get to investigate this aspect of your vine(s),
Confound it! I'd have gotten away with it, too, if it weren't for that pesky ViburnumValley! Nah, I'm just kidding, vines are not my forte', per se, but Idon't mind being wrong, if I did I'd never post anything! Seriously, though, 80% of all vines look like grapes or poison ivy to me... I have 'vine-blindness', it's like color-blindness only, you know, with vines. My doctor says it's inoperable.
The first photo may be either Virginia creeper,Boston Ivy or Poison ivy...
The first photo center cluster at the junction of the lobes appears to have a tendril-like structure(?) just to the right...and the lower right cluster appears to have fresh rootlets growing out of the stem towards the support...
The second and third photos look to be Boston Ivy...
The very young leaves on all of the following young plants can look extremely similar,although the basal serration of the Poison Ivy leaf tends to be more prominent than on the Parthenocissus species
None of these plants will show tendrils if they are creeping along the ground as the tendrils are only used for climbing...
I agree with ViburnumValley to check on what type of adhering 'tendrils' the young climbing stems are displaying...the poison ivy will put out root-like structures like English Ivy as shown in the photos above...
Boston Ivy and Virginia creeper may eventually put out the type of 'roots' that dig directly into /onto a support but Poison Ivy never(!) puts out the type of tendrils that I linked to for Virginia creeper http://davesgarden.com/guides/pf/showimage/198790/
First one looks like poison ivy to me thats growing on some of our property. Red stem, leaves of three... the second and third pics remind me of Virginia Creeper, but I'm not an expert either. The first one though, I'd be carefull with.
Thanks everyone for the added information. The info about and photos of the tendrils added by Ron-C were also a big help
The vine in photo #1 adheres to the fence with the little suction cups so that puts it firmly in the Boston Ivy ID.
Yay! I don't have Poison Ivy. At least not in the hedge row. I already removed 3 poison ivy vines from the flower garden. ID is easier when you can see the small new little red leaves.