One of the tutors in the College of Winterhold, (located on the coast North part of the map), offers to both teach enchanting and/or to enchant items for you, (at a price). I never asked him to enchant anything, as you gain experience from enchanting items yourself, plus you gain experience from learning enchantments when destroying magic weapons, shields and clothing on the enchantment table.There is another enchanter trainer linked to a quest that I did in Markarth, and there are probably others about, that I never found.
It does however take time to learn all the different enchantments for yourself, and /or to cast enchantments that give your items a huge stat boost, so using the college tutor's services might be a good idea for a low level player, as he may be able to enchant items to a far higher level than you can at the start. It was one of the many things that I meant to test, but never got around to in circa 300 hours of play. It's a very, very big game, and there were still loads of things that I had meant to try, but never did. I have tired of it for now and uninstalled, but I will return to it in a few years time and and load it up with DLC, Mods, etc, for another go, but the vanilla version was/is a huge amount of fun just by itself.
Regards - Mr P