Material is great but it all depends what you want to acheive.
I prefer paper for whites although i never find it's good for blacks. In the studio at my work we've got some nice black velvet, which is great because it just soaks up the light so creases don't show up.
Muslin is okay but you do have to make sure it's ironed before use I've found. Mind you, that's not a hard job and you won't be using acres of it I doubt.
What are you aiming to shoot and for what result?

Never used a vinyl backdrop. I'd say it'd be expensive though (unless you got that stuff with flowers on they put on tables in greasy spoon cafes!!)
The wipe-clean aspect is a good shout, although you could easily wash a piece of 8'x10' material in a washing machine. Not sure where you'd get a similar sized piece of vinyl and I'm sure it'd be heavy, so you'd need someting seriously beefy to hang it from.
Why not a cheap white kingsize flat bedsheet... or two?

Bingo.Do you use the above for your portrait shoots Janice?
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Why not a cheap white kingsize flat bedsheet... or two?
I've no experience, but if I was going to try a white backdrop and had a 'room' or 'studio', I'd just get some white emulsion and whitewash everything. That way you can just repaint bits to remove dirty marks. Is this a silly idea?