If you wanted to describe the sound of a small brass bell that you can hold in your hand (this is an example image of what I mean - what word would you use? Brrring? Bling?
The term should be tinkle. For example:
- A bell tinkled as the door opened.
- The maid tinkled a bell.
The sound of a hand held brass bell, to me, is "ding-a-ling."
"Tinkle" would apply at best to a very small bell (and at worst is slang for urinate as I commented above), and "brrring" would apply to the repeated hammering on a bell such as one used to hear telephones or school bells make. "Bling" is slang for gaudy jewellery!