What's the best? Depends on where you're going and your preferences. In some situations I would want the full 360 degree enclosure of a mid or tarp tent. In general I don't want to bring trekking poles AND tent poles.
I use a hammock when I'm sure to find trees. I use a tarp & bivy otherwise (in the desert or with my friend who's eager to get up above treeline)
If you can use a hammock a lot of the time, it's certainly worth a try. I find mine very comfortable, and there are several advantages to being up off the ground.
Hanging the hammock -- at least a Warbonnet Blackbird, with the straps and carabiners--is fairly easy, though requires some attention to angles for optimal comfort. You still have to deal w/cord, but it's a lot easier because you have two stable trees there for the main ridge line. You'll still want to learn the knot to use (what I use is called a slip knot with a truckers hitch, i think). Or I suppose you could get those line lock thingies. I keep the cord attached to the tarp w/bowline knots. Some people redo them each time, i don't.
Pitching a hammock tarp is easier than pitching a tarp with two trekking poles. I've recently gained competence at that, but it still helps to have an extra set of hands to hold a pole.
Advantages of using some sort of tarp: airflow (less condensation), weight, versatility, ease of exit/entry, no zippers to break, psychological benefit of the openness - if that works for you, in some cases price, possibility to squeeze another person under it, you can keep the inner element (net, bivy, hammock) dry by pitching the tarp first, often safer/easier to cook under, practical/aesthetic value of simplicity, ease of peeing in the night (for me only w/the hammock). And I'm sure there are more that other members can name…
Advantage of using a tarp + bivy: even lighter and if the weather is clear you can skip pitching the tarp altogether. Love sleeping in just the bivy!
Advantage of a hammock: comfort, opens up a lot of camping possibilities, which allows you to go further because you don't need to be as concerned about site-selection. Assuming the overall place is forested.
Advantage of a flat tarp: If you get bored you can try new pitches. It's cheaper than trying new shelters!
Oh, if you are ever ill you can stick your head out of a bivy (or hammock) pretty quickly! I had occasion to appreciate that once.
My sense is a tarp/hammock set up for you would be a gentle way to ease you into the tarp stuff if you're curious about that. Get some of those line locks if that'll make it an easier transition. If you don't get the perfect cord or the perfect stakes, hammock set-ups are pretty forgiving. A lot of the time I'll tie off to a root, branch or log.
Right now I'm using my hexagonal hammock tarp for my ground set-up too. So that's another advantage: you can use a hammock tarp with a bivy or a large enough flat tarp with a hammock. Separate inner/outer elements gives you some nice budgetary leeway to experiment. I could also experiment with a tarp & net and I'd only have to buy a net.