Hi, Terri -
Let me say that I am an amateur. What helped me was making sure the round jumprings were joined properly and had some tension so their ends wanted to meet and stay together on the block. The jumprings' ends must be flush - either by using a jeweler's saw or something else which did not leave a nib when cutting the wire.
Lighting was the other critical factor for me. It worked in low light so I could see the fusing as it happened.
I started fusing copper, 'cause I didn't know copper doesn't fuse. Then played with fine silver and 22k. I don't believe where you buy your wire is an issue; Rio is an excellent source for many things. While I blew through many jumprings initially, with some patience and practice, I did acquire the skill. My non-success rate was easily 40%. Even now that I am proficient, I "recycle" 10% of the 22k rings.
As I said, no flux, as the 22k (or fine silver, etc.,) wants to fuse with itself. It was my job to get my torch outta the way before I evaporated the metal. I'm right-handed and use the torch with my right hand as well. It seems I have more control with my dominant hand.
Scream at me with specifics, I can help further. I am more than confident you'll master this. We can celebrate over a cuppa tea.