Meters
You are describing 2 different types of meters that do different jobs.
A standing wave ratio meter goes in series with your antenna line. It measures forward and reflected power and displays the result of the mis match or perfect tuning. There are different ypes of this meter. I have Bird 43 in line watt meter. It displays the forward power to the antenna and the reflected power coming back at the transmitter. Other meters will display this as a number ratio.
The meter with its own antenna that you mention is mostly a Field Strength Meter. This is used to make 'rough' determinations
of a transmitter having power out.
You are looling for a SWR meter if you want to tune an antenna. If you plan to operate on 1 frequency only, then tune the antenna for that frequency. If you are using a number of different frequencies, tune the antenna for the middle frequency. This will give you the best results.
Follow the directions for your specific antenna. If cutting is required to tune your specific antenna, BE CAREFUL, cut small amounts at a time. You can easily ruin an antenna by cutting to much off.
Paul