Please do NOT copy and paste into Excel. That would make me cry.
I'm not sure how you're running all of these models, but one thing you can do is to save the parameter estimates as data sets using ods output.
The basic syntax would be (using proc logistic):
ods output parameterEstimates = your_data_set_name;
proc logistic...
ods output close;
If you're running in a macro, you can do something to give the output data set a unique name and then concatentate or whatever. Your options are many, so please don't copy paste. 🙂 If you have some example code of how you're running the models, I could give you more specific examples of what to do.