I always rip from the bottom unless it's such a tangled mess I can't get at the stitches. I get bigger pieces of thread that way instead of the little tiny bits. I'm not sure I'd use duct tape -- it is very sticky to catch the treads yes.. but I'd be afraid it would leave some sticky on the fabric, and duct tape sticky is nasty to try and get off.

A lint roller, pick the threads off and put them on the roller.
I just took out some quilting and had to do that.

Tweezers! I've ripped out more yards of thread than I care to remember. Consider it pennance for whatever!
MK

Get yourself the pet hair remover from pledge. It's a extra large lint roller. I use mine all the time.

Can you vacuum them off - gently, mind you.

I've done this before and it's worked for me - saved a lot of time.

I've used a plain old eraser on the end of a pencil to get them out. If you have large areas you could look for one of those two sided erasers to cover a larger area.

I did the hair brush and packing tape procedure...worked like a charm. There were only a few stragglers and I grabbed them with tweezers. Many, many thanks to everyone who responded to my plea. Now time to remount on the frame and get to work. Wish me luck.

Tape should work and maybe tweezers.

Always test the upper tension before you start to quilt by lowering the pressure foot and tugging on the thread to see if it is in the tension discs. If it pulls out easily rethread and try again. I get those snarls when the thread isn't in the upper tension properly. Also the sticky tape is a good idea

I use a lint roller all the time to get rid of those pesky little threads, especially when I'm doing pp! So I think you would be happy using a lint roller - it will do the job for you just fine! Happy rolling!