اللهم أني استودعتك نفسي يا من لا تضيع عنده ضائعة

I'll try my best.

oh Allah , I entrust myself at you, I believe that you don't lose anything entrust at you.

 اللهم أني استودعتك نفسي =  oh Allah , I entrust myself at you

يا من لا تضيع عنده ضائعة = I believe that you don't lose anything entrust at you. 

The meaning is we believe that Allah can save us from anything.

 I hope that was good.