Gosh love this post!! YOu sure have gotten some great advice. Definitely buying a horse isn't like buying a puppy!!
As far as the halters on horses in the pasture, well its just not safe. Some use leather which will break under pressure, but thoughs nylon ones won't bust should a horse get caught up some where.
I think someone was thinking your horses were hard to catch, which may not be the case at all.
Anyway I love my horses; yes its hard work at times but sure do enjoy them all!! I have 6 colors and 6 patterns on my place; makes them easier to spot.

( pun intended)
I don't know if anyone has mention about leasing a horse. He or she could be used for lessons, 4-h, saddle club like someone mentioned; its best to ease into a great responsibility of a great animal. Definitely find some you can trust, never go it alone.
Question: Are you folks using photobucket to post pictures or straight from your computer? Yes, I'm new here
Your heart is in the right place so keep your dream going!
Best Regards
AppyGirl