Thanks Mrs Flynn,
I went ahead and bought it from the store online, it was $100 cheaper than their price in store, I have it up and running on the new laptop, including all my store content and it seems to be running better than it ever did, even on my desktop.
I don't have Pets, Seasons, Island Paradise, Into the Future or a few of the stuff packs installed, but I was able to get my Citrus family saved game into the new game and it is all working very well.
Thank you
@Flynn Arrowstarr and
@MrsFlynn for all your help in designing the guide and for reviewing specs for all of us when we want to get new computers for Sims 3/4 (and for writing your guide in language that's not overly technical)