Depends on which hurricane 3 you are talking about. If you are just using hurricane 3 (without the neo), it can be very hard to play and you'll feel like you're not generating a lot of power. This rubber is meant to be boosted but I've played with it non-boosted and it's good for developing good technique. I recommend getting a hurricane 3 neo first as this is factory-tuned/boosted so it'll give you a bit of juice (but not a lot). H3 Neo as most people say needs to be boosted in order to unlock the full potential but I've personally played with it unboosted and play just fine. It might be due to the fact that I'm using a fast blade like Hurricane Long 5. The most commonly commercially sold H3 neo is in 39 degrees and comes in 2.2 and 2.15 thickness. You can get either thickness but I would suggest getting the 2.15 since it'll be slightly lighter. Hurricane rubbers in general are always heavy, so it may take a few days to weeks to get use to the weight. Once you get everything setup, find a practice partner and just start practicing on your forehand drives. I don't know how you do your forehand drives since everyone does them slightly different but a lot of Chinese coaches at my club will tell you to brush the ball (regardless of what rubber you use). Since you've been using tenergy 05, you probably didn't need to do this for the ball to go over safely. I used t05 previously and all I had to do was hit the ball at the highest point to drive it over, instead of going under the ball slightly to brush it. If you try hitting it with H3N, it'll probably go in the net (trust me, most the people who've played with my equipment wonder how I get the ball over), so you got to make sure you go under the ball (sometimes slightly below the table) in order to get it over safely. It's kind of like a mini topspin, but it shouldn't to the point that your training partner has trouble driving it back. Focus on doing this a few 100 times to get the timing down and then later add in the whole body rotation. You'll be weight transferring from your right leg/knee to your left leg/knee. If you've received coaching on this, I apologize and you can ignore it. If not, watch some videos of ma long doing his forehand drive on youtube to get an idea of what it looks like. This forehand drive is probably the most important stroke because it'll lay the foundation for your forehand loop which I find is basically the same motion but with your arm further below the table, with the brush being much faster like you're literally whipping your arm. Make sure to keep your arm relaxed when performing the whipping motion. You'll find that you'll be missing the ball initially, but make sure to practice on getting the timing right. The angle will vary a lot depending on what ball you get so you have to figure that out on your own. But make sure you BEND YOUR KNEEs. Unless you're hitting really high balls or you're really short, you'll probably have to bend your knees, otherwise you'll find brushing the ball (or even getting your arm below the table) to be impossible. It's physically demanding and add on the heavy rubber and you'll find your probably be really tired after a few 50-100 loops at the beginning, especially if you don't train often. And pretty much rinse and repeat. Your whip will be rather slow at the beginning because your body is not used to it but as you do it more, it'll become faster (based on neuroscience). It's a rather slow process, especially if you've been playing for a long time. If you've got money to spare, you might want to make a second blade with the rubber on it. I had a friend who used his blade with H3N to train his loops initially and played t05 when he was being serious. But gradually changed to H3 Neo. Anyways, very long message and I've left out a lot of details, feel free to message me LOL if you have any questions. It's a pretty rewarding experience once you start seeing your loops spinny and low arc. And even if you do go back to tenergy, you'll find that your technique in looping is much better.
P.S. It's highly recommended to get a coach who knows how to use Chinese rubbers to train/drill you since he/she will be able to find any faults in your technique.