Do not search for anything close to what you want. FET data sheets will show a much larger current that they can realistically handle.
You need to search for a logic level FET, that is one that can be fully turned on with 5V, assuming you are using a 5V Arduino.
This will be a condition of the on resistance rating Ron. Do not bother with the threshold voltage that is the voltage where the FET just starts to turn on.
Then look at what the package can dissipate without a heat sink. To see if you need a heat sink or not.
I think you will find that all power FETs are suitable for driving a string of LEDs.