If accuracy at low levels is not too critical, something like half of an LM358 should be OK, they will work from 5V or less and the input range goes slightly below 0V, so are fine for many singly supply uses.
The output can only reach around 2V less than the supply though, so it may need more than 5V to reach full scale on the meter? The IC is OK to over 30V, you could use a 12V supply. With that device, connect a 4.7K resistor from the opamp output to 0V, to improve accuracy at very low signal voltages.
For guaranteed operation at 5V, you need a rail-to-rail input and output opamp.
Some of the types that could work; many of these can only take a maximum supply of around 6V, so must use the 5V regulated supply from the module. Check the datasheet before buying one, just to be sure.
MCP6001
MCP6242
MCP6041
MCP6021
MCP6022
OPA344
OPA347
And many others. Be careful to get the dual in line type, there are far more versions in surface mount packages now..