I have a curry tree that I've had potted for 11 or 12 years now. I have to bring it in as soon as I know it will get below 50º, and similarly, I can't put it back out until I know that it won't get below 50º for a low. The plant in in the citrus family, so it can come down with similar diseases and bugs. The one insect that I have had major problems with , once I bring it indoors (outside, no problems!) is scale (which is farmed by ants), and once in a while spider mites. Last year, when I re-potted the plant, I mixed a generous amount of DE into the soil mix, esp. the upper 2" of soil mix, and had no problems with scale on these, or the kaffir limes, both of which got them the year before. Here is the one that I have, showing what looks like flower buds, but is actually the new growth. As you can see, mine is in a 4 gal bucket, that is made into a sub-irrigated planter, which the plant seems to thrive in - I had it in there from September 2017, to now.
DSCF0693 by
pepperhead212, on Flickr
Here is a good YouTube video about growing curry trees. About half way through the first is where you'll be starting, since you have a plant already - the first part is about starting from seeds. The second video is about trimming and re-potting. The third is another about trimming. As you will see, you can cut these things severely, and they don't mind!
https://www.youtube.com/watch?v=na9XeH2Cicg
https://www.youtube.com/watch?v=7XfZoslbUf4
https://www.youtube.com/watch?v=x3VxuYl-wAc
They like well drained soil, and I started out with a 3 gal pot, adding some extra perlite to the soil mix, and some worm castings. Every 2-3 years it needs re-potting, and severe pruning and root pruning, and as soon as I put it back into new mix, it begins a bunch of new growth. I bring it indoors, and place it in front of a S facing window for the rest of the fall, the winter, and into the spring, until it gets warm enough to put it outside.
As those videos will show, you can trim a lot off of these, with no harm. Sometimes, when it starts getting too heavily foliated, you'll have to trim a BUNCH off of it, but that's down the road, after yours gets settled in. And you'll also get some suckers coming up out of the ground - that might be where your plant came from, or maybe grown from seeds. You can just let it keep growing, and eventually, you'll have another plant, next to the original one, though eventually, you'll have to start pulling them, or sharing them with friends.
For trimming these, when I cut the thick stalks, I seal them, with a pruning paint, "liquid electric tape", or liquid skin. When left, as is, the unsealed cut slowly turns brown, with the brown slowly moving down the stem.