Upgrade your net

Use a Rubber Landing Net Bag or a soft mesh net.
Landing nets have come along way over the past few years. Most new landing nets come with a rubber bag that has several advantages over old fashioned nylon net bags.
One such advantage is that fly hooks rarely get stuck in them and if they do they are much easier to get out. Nets with rubber bags are not as easily caught in branches etc. while walking alongside a stream.
Most importantly these new style are better for fish. The rubber net bag is softer and slicker. The rubber does not cut into fish, damage eyes or other sensitive parts of fish bodies as easily as the old style knit nylon bags do. Rubber landing nets also do not remove as much of a trout's protective slime coat.
These new landing nets are now easily found from manufacturers such as Brodin, Orvis, Fishpond and LL Bean.
If you have a sentimental attachment to your old landing net you can purchase a rubber replacement bag and easily replace your old nylon bag. All that is needed is some dacron backing and a needle. The entire process takes about 15 minutes.
So go ahead and ditch that old fashioned landing net with a nylon bag and treat yourself and your quarry to a safer landing net with a rubber net bag.