any advise on attaching manila rope to tree branch

All,
I’m looking for a safe and easy method to attach my 1 ½” manila rope which has a metal end with an eye opening, to be able to use a carabiner to attach the rope at the top.
I could use a nylon webbing and tie a square knot, or two, and make a circle/ loop. Then lay the loop over the branch and pull it through itself and make a hitch to clip the top of the rope onto, but that’s relying on my knot of the nylon webbing and I’m a tiny bit nervous about that. I will plan on leaving the webbing on the branch so I only have to climb a ladder and clip the rope to it each time I want to climb. I wanted to know if you had any other solutions or ideas for an easier and/ or safer method to attach the end of the rope to the tree branch.
Again, this is NOT for tree climbing but rather for climbing a rope, like in gym class, outside. I want to do this for exercise and I know my daughter and son like to climb as well.
Any help would be appreciated.
Thank you in advance.

You can see the manila rope’s metal clamp and webbing at this site in case you’re not understanding my explanation.

http://www.knotandrope.com/store/pc/viewPrd.asp?idproduct=1933

I would use a heavy duty sling runner like this:
http://www.treestuff.com/store/catalog.asp?category_id=327&item=1592

Set it up in a "basket" configuration, buy a sewn sling runner long enough to make the basket and leave plenty of room for limb growth.

Attach to the steel loop on the top of the rope with a high quality screwlink (not a hardware store screwlink) like this:
http://newtribe.com/store/index.php?main_page=product_info&cPath=6&products_id=24

Inspect the top of the rope and sling for wear annually.
-AJ

The configuration I've suggested is overbuilt, and should be. Your life and your children's lives depend on you creating a super strong and easily inspectable system.

Lastly I suggest moving the sling a few inches one direction or the other on the limb annually, the tree will start growing bark/cambium around the sling if you don't.

All of this assumes you made a good choice for the limb that you'll hang the rope on, if you have any doubts or don't feel qualified to assess the tree get a consult from a qualified arborist.
-AJ

I'm also interested interested in hanging a climbing rope on a tree. How did it go with this project? I've read that manilla rots easily. Did see any wear and tear on your outdoor rope?

Hmmm, these manila ropes are pretty solid and flexible actually. I would try to use a heavy duty sling runner, I think it has to work. So, basically the solution proposed by moss should be the best one, and probably the only one that would work out perfectly, moreover the only one that is enough safe. However, I do not really like those ropes as they can get wet and they are not that practical from that point of view. I was thinking about using some manila ropes for my kids' swings, however I am afraid that they would break and my kids would get hurt. I have read some amazing reviews for some ropes on https://www.growgardener.com/best-rope-for-tree-swing/https://www.growgardener.com/best-rope-for-tree-swing/ , and I have chosen one of those ropes, and I am really pleased with it.