I have perssonal experience here:
The thing to watch out for is a huge rebound of water retention. If you are salt sensitive, try to mitigate this by cuttting out your salt as you wean.
Weaning really isn't necessary though, you can just stop.
You will immediately see your weight increaase several pounds from retained water.
I've noticed that it takes the body several weeks to a month to learn to dump water properly again.
I don't think stopping the diuretic will help with the triglycerides...the effect is usually slight.
I HATE when I go off diuretics and have to look at that scale tormenting me with a five pound weight gain...and it hurts my joints too.