[subject] + 尽量 + [verb phrase]
[subject] + 尽量 + 不 / 别 + [verb phrase]
尽量 goes before a verb and says the action will be done as far as possible. As a promise, it means you'll try, without guaranteeing the result.
On its own, 我尽量 is a complete reply to a request: "I'll do my best".
To say "try not to", the negative goes after 尽量.
An adjective after 尽量 usually takes 一点儿 or 一些, or a verb to carry it.
The 尽 in 尽量 is read jǐn, not jìn.