An arteriovenous fistula is a surgical anastomosis of an artery with a vein, bypassing the capillary bed, to allow the faster flow rates needed for hemodialysis. similarly, an arteriovenous graft serves the same function but utilizes a synthetic tube, not the patient's naive blood vessels, to bridge arterial and venous flow while avoiding tiny capillaries.

how to explain this to a person with no medical background ?

An arteriovenous fistula is a surgical procedure where the doctor will surgically connect and artery to a vein in your arm which will increase the flow of blood needed for your dialysis treatment.  

An arteriovenous graft is a surgical procedure where the doctor will insert a looped plastic tube in your arm that connects an artery to a vein increasing the flow of blood needed for your dialysis treatment.

Explanation:

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my hamster died and my second hamster i got after that one died as well. i also lost two birds named rainbow and kiwi, (they didn't die, they flew off and escaped). i lost a cat named omi, and a dog named snoopie. the best way i got over it is, paying my respects, and just thinking that they were in a happy place. as well as just remembering but not thinking about it all the time, just do fun activities and try not to think about it too much. hope you feel better. i'm sorry about your loss. : (