I am right-handed. When I knit I transfer the work from the left needle to the right needle, and feed the yarn through the fingers of my right hand. When I crochet I hold the hook in my right hand and feed the yarn through the fingers of my left hand.
How differently do left-handed knitters and crocheters do it?
Left handers do the opposite, think about which actions need the most dexterity (is that how you spell it) in crochet it's the hand with the hook that does the most work, in knitting it's the wrapping of the yarn around the needle.
My Mum is an avid knitter and very left-handed, but she taught herself to knit right-handed. Otherwise when you follow a knitting pattern oyu have to reverse all the instructions which is very complicated. I think she crochets right handed too as she taught me and I do the same as you do!
I'm a leftie, but knit like a right hander. A few people tried to teach me how a leftie should do it and I could never manage it. Earlier this year I just followed a friend as she knitted and I've nearly finished my first cardi for DD
I do it right-handed too, except I usually use my left-hand to do all the work - when I knit, I've found I hold the right hand needle with the end in my lap ,and the left hand does all the pulling, pushing, threading
I am not left handed myself, but I've known both mirror-image knitters and those who knit normally but use their left hand to do much more of the manoevring, continental style. The second way is how I'm trying to teach my LH DS. I guess different methods suit different people. If you sit in a room with 10 people knitting, every one will be knitting slightly differently.