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It will depend somewhat on what material each handbag is made of. For example, if it's canvas you may want to use a hard light skimming across the surface to reveal the texture, if it's leather or vinyl you may need to use a large source to reduce glare, etc.
The good news is that whatever lighting equipment you get, you can almost certainly use most -- if not all -- of it for portraiture.
Before buying any lighting equipment, though, I'd suggest getting this: