You need, imo:
a) a spreadsheet showing every staff member (suggest down column a) and all equipment they need training on in rows along the top. You can put YES or NO to denote whether they've been trained on a piece of equipment and then it'll be easy to report on it and keep track of it. You could do pivot tables and stuff if you needed to.
b) you need to put together something to tell them about the training, why they're having it, what the benefit is to them and to the organisation and when and how it's going to happen (once you've established when and how).
c) If you plan the training well and communicate it well that should help towards the apathy and lack of enthusiasm. Can you sell them the benefits of the training?
d) You will need to work out a schedule of who is going to be trained when and send invitations (do you have Outlook or something like that to book appts with people?). If it's mandatory, make sure you tell people it is.
e) Can you do a poster campaign explaining briefly what the training is and why they will benefit from it?
f) It would be good to train some 'super users' who are trained to deliver the training, that way you would achieve more in a shorter time.
g) you will need to think about training materials so process flow documentation if appropriate. Could you do a page on any intranet you have with hints and tips? Could you do some laminated things for people to take away from the training.
h) also think about how you will measure the effectiveness of the training. Can you ask people to fill in a doc on their way in and out of the sessions asking how confident they now feel about using the equipment?
Those are my quick thoughts.