Bucksnort101: Welcome to THR and the 39 Club.
You are pretty safe with the model 39. Some of the more recent rebounding hammer versions have had some failure to fire issues that are generally easy to correct if you are mechanically inclined.
There are a multitude of variations of the model 39. The most common and least expensive is the pistol gripped 24" barrel version. Variations include straight stocks, barrel lengths 16, 20 & 24, round and octagonal barrels, Fluted, checkered and plain stocks; slim, fat and checkered fore-stocks, even crescent buttplates... to name a few.
The Henrys I've seen are decent rifles. Dr Twigs did very well with his Henry in our Levergun matches. Where I think the 39 is superior is the quality and robustness in comparison. The 39s also hold their value very well.
Pretty hard to go wrong with a 39. The toughest part is usually finding one. For many, myself included the biggest regret is not buying one sooner.