So if I use mosfets how would I connect them to the Arduino, wall outlet for power and to each electromagnet? Can I get an electrical diagram.

And how many amps do I even need to lift/launch 3lbs 25cm?

Is everyone afraid to tell the OP he is designing this thing completely backwards?

You need to compute the energy needed per second to begin to lift his 3lb weight and to move it some distance, against gravity, in some unknown time.

Once you have the energy required for your project, then you can compute the magnetic force needed to begin to move the object. Then realize as soon as it is a bit away from the electromagnet, the magnetic force is now reduced and more force will be needed to move another increment, and continue this process until 25 cm is reached.

Knowing the force required for each step, now you can compute the ampere turns required to generate this force. Knowing that, you can decide on the size of the wire that will handle the current and the insulation of the wires to withstand the heat generated.

Once that is all designed, you can begin to design the current supply for the coils.

Are you going to use some magnetic material for the wire turns to be wrapped around? If so, that will need to be considered in making the electromagnet.

Paul