Relationship Between Resistance and Magnet Strength for Electromagnets
Each of the Series E-77-82 devices is rated for 1.25W (continuous). The power in a resistive device like these is given by
$$P = V^2/R$$
Where V is the operating voltage and R is the resistance.
The manufacturer offers basically the same electromagnet in different Voltage-Resistance configurations. At the low voltage end, there is thick wire, and hence few turns, and low resistance. At the high voltage end, there is thin wire, more turns, but higher resistance.
You suggested that you want to minimize current. You can do this at a price. The price is that, for the size of electro-magnet you are looking at, lower current comes with a higher required voltage. For a given pulling power, your electromagnet can only have lower current if it has more turns. But more turns means either smaller wire (and more resistance, and a higher voltage) or it means a larger sized device.
So, when deciding on which electromagnet to buy, choose the smallest series with the pulling force you need, and then choose the wire size/resistance/voltage based upon what voltage you have available to supply your electromagnet. If your voltage supply is too low for that magnet, you will not get the full pulling force for that magnet. If your voltage is too high for that magnet, it will overheat, and may burn out.