Personally, I've made use of any of them ranging from pocket, wallet to purse. And this happened at different stages of my life. But I don't really place premium on where money or any valuable item can be kept, because at the end of the day, making sure that thing is safely tucked away and gotten back, that's my main concerned.
In retrospect, when I was in secondary school, as a boarding student, I was using waist pouch that can help to keep my money safely without losing them to thieves, which where very rampant in the hostel. As time progresses, I switched to pocket. One thing I didn't like about pocket is that it doesn't provide safe keeping of money, especially if you're the type who is having a leaking pocket, where money can fall without you noticing it.
Presently, I make use of wallet, which I considered to be best, as it can house not only money, but also other valuable items like ATM and ID cards, receipts, invoices etc.