Both, the thickness and the length of the white gold chain you choose to buy depend entirely on your personal taste, preference and budget. If you choose to go with thicker chains, the weight of white gold increases along with the price.
We would suggest you first decide on how much are you willing to spend and further narrow down the ways you would want to style your white gold chains. Once you know the ways you want to wear them, it is going to be easy for you to pick the desired length and design. For instance, if you want to wear the chain along with a pendant, make sure the chain thickness and design are such that it can hold your pendant without damaging itself. On the other hand, if you would like to carry these chains independently without a pendant, you should pick a thin and delicate white gold chain design, if yours is a minimalistic style or else a thicker one for a bold classic touch.