I'd cut the grounds at the crimp and use a 5 or 6 slot push-in connector.

I've never used a push slot connector. Will it allow some of the wires to be left long to connect to the switches?

Experience helps in these cases. Often the original installer cuts the wires very short- in violation of the NEC. In very tight places, I sometimes use a Dremel to cut along the side of crimp connector barrel to remove it without shortening the conductors. Suppose that you have 6 grounds and the crimp sleeve or wire nut will accommodate only 4. Combine 3 of the grounds with a pigtail (total 4) and combine the other three with the other end of the pigtail for another 4.

Sounds good, thank-you so much for the help!

Alison