Welcome to the forums!
Good question, and one we get asked here at Opto a fair bit, so we have a comparison doc to cover it.
(In the ‘Learn’ section of our web site, is a ‘Comparison’ section).
That is the link to the doc. <PDF warning>.
To answer your question, yeah, you can run PAC Sim, and PAC Display and a PAC Strategy and have your windows pop up using just PAC Basic.
Pro has a few more commands in Control, and Display, so if you stay away from those, you can do everything you need at work in Basic and thus be able to run them at home as well.
(Hint, drop Selam, Tom or any of our presales team a phone call and see if they can work out something for your home PC).