Kat, you can check out the Hungarian Havanese Gallery: http://www.havanesegallery.hu/index_en.php
for pedigrees. Say you like the look of "Mucho Bravo Wild Willy", you can enter his name in the search and see lineage. Or you like the coat and look of "Harmony Dulce La Cuba Cao", you can see who she is related to and work from there. These are only examples, as I have no idea what types of dogs or breeders these are, just wanted to give you an idea.
you wrote: "Correct me if I am wrong, by lines you mean certain personality, color, appearance, size and all of what I am looking for in a pup. "
"Lines" means pedigree, what Havs are relatives to the one that interests you, who are the breeders and dogs related, what studs and/or bitches do the breeders use to produce such and such a dog. In that 'line', you might find a common coat type, personality, size, etc...
There are always exceptions, so it doesn't mean that a certain breeder who has one type of dog won't produce a puppy that is another type. Ricky's parents are both 10 lbs and yet he weighs 17, w/o an ounce of extra fat on him, and is very tall and long. One of his siblings is a Cdn. champion, Lotus z Domlina, at about 14 lbs. (I'm guessing) but is shorter. They have the same coat, yet Ricky's and Lotus's dam's coat is thinner, not at all like Ricky's. I might not have the facts about Lotus right, so don't quote me! LOL
One important thing to look for, is that the breeding dogs' health test results are posted at www.offa.org
Cerf, Baer, hips ... Then you can start looking at what type/character of puppies they produce.
I'm not very good at identifying what dog comes from what breeder, but when I find out, I can usually see similarities and it makes sense. I know that Hungarian breeders tend to breed their Havs on the small side and there are a lot of Reds in Europe. One Cdn. breeder produces quite a lot of red Havs, others tend to produce quite a few Havs with the ticking gene,