Probably depend on how strong the sports signals are and how complex the Unimesh dishes are? If the Unimeshes aren't quite as complex as the Conifer and are big enough, the Unimeshes might be the easier route.
I don't have any Unimesh dishes, so I don't really know about them, but I have a 12' Conifer like yours, [you actually helped me positively ID it when I first got it

] and there's a lot of pieces to it plus the mount is super heavy!
I had my Conifer set up in back for a while next to my 9' RS dish and it works nice, but I took it back down cause I'm moving all the dishes to the side of my house for a bit better LOS to some sats. Once it's up the Conifer is good, but it's a beast to tear down and put up by yourself and a lot of pieces to restore, if yours is down and apart right now.
I think I myself would use the 12' for an general use dish for channels all across the arc, especially the weaker ones, and dedicate one of the tens to the sports dish, if a ten is big enough. I don't watch sports, so I don't know what the strengths are for any sports channels.
