If you are giving them with the intent to be used in the future, spend a little more and leave their entire name off. The Lands End monogrammed ones are a great choice.

If they are meant to be a cute party favor, go with the word Bridesmaid and their name, but fully plan on them winding up in the trash eventually. I would never carry that again, and I'm not even big on keeping souvenirs so I wouldn't even bother sticking into a box in my closet. Some people might save it for longer, though.

And like someone said, the cheap ones probably won't be large enough to serve the purpose of carrying items the day of your wedding so you're probably better off going expensive for that reason alone. I'd go cheap if it was specifically just meant to hold other gifts you might be giving.