Ok, I hope I can help.
Quilting with a walking foot is technically (IMHO) not free motion quilting. With a walking foot, the feed dogs are still activated so they can work in conjunction with the walking foot to (hopefully) prevent wrinkles in the fabric sandwich. Quilting with a walking foot is more suited for stitching in straight lines or stitching in the ditch. In this mode, you would not pull or push the fabric as the machine should do that.
FMQ Free Motion Quilting requires the operator to manually move the fabric sandwich under the needle. There are some sewists who do not use a presser foot, however, if you value your fingers, it would be best to use, at a minimum, a darning foot. Darning feet and free motion quilting feet are shorter than a regular presser foot so it does not make contact with the feed dogs or the needle plate. The space between the needle plate and darning foot is what allows a sewist to maneuver the fabric. Usually, the feed dogs are lowered when performing FMQ, but there are some sewists who don't. It's probably a matter of preference.
Most older sewing machines included a darning foot in the accessory kit. Newer sewing machines may have several presser foot options for FMQ. In addition, there are many FMQ presser feet available on the market that can be ordered to fit your specific machine, ie Big Foot. Nancy Notions Trusted by sewing enthusiasts for more than 3 decades
There are a wide variety of FMQ presser feet, some have springs so they "hop" on the fabric, some are metal, others are clear plastic, some are full circles, others are not round or may be open toe. There are also special presser feet that have a thicker base made for FMQ with rulers--the thicker base helps prevent the ruler from slipping under the presser foot and being struck by the needle.
In addition to the multitude of FMQ presser foot choices, there are a variety of other tools available, ie quilting gloves, quilting hoops, marking tools, pattern transfer supplies, silicone mat that covers the sewing machine surface making it easier to glide the fabric. Amazon com Queen Size Supreme Slider Free Motion Machine Quilting Mat... Free Motion Quilting for Beginners
There are tons of tutorials for FMQ. Just as there are many different methods, the right method is the one that works best for you. There are also lots of rules, but rules are made to be broken, so don't let someone else squelch your creativity. Quilt to please yourself.
Above all, PRACTICE, PRACTICE, PRACTICE. I have a small whiteboard that I practice drawing designs. Muscle memory will make FMQ easier. There is also the need to get a comfortable sewing speed along with the speed at which you move the fabric. If you are breaking needles, your fabric movement is probably too fast for the sewing speed. Also, practice moving the fabric while keeping the sewing speed consistent.
Good luck! Remember, those awesome FMQers didn't learn it overnight. Many have been doing it for over 20 years, so don't be overly critical of yourself. You'll see improvement with every project you complete.