Numerous Coax Cables in Yard

I am in the process of cleaning up a flower bed that runs the length of my back fence line.  Part of that processes is hand tilling the dirt, pulling weeds, and removing roots.  

In the process of doing this I've uncovered at least 5 thin round black coax lines (like really old line like I used to have in my house in the 80s).  I've also found what looks like two separate lines that are wrapped in plastic orange sleeves and seem relatively new.  Finally, one more unwrapped orange coax that looks like may be the run to my house (though what I have coming out of the ground at the house is wrapped in orange sleeves.)

No more than about 2 months ago we had the yard marked for a sprinkler system and the the last unmarked orange coax is what was marked as coming to the house.  But I'm just not sure since it looks much more worn out than the large plastic wrapped runs I've come across.

None of these cables are now or ever were buried more than about an inch under the dirt.  Less than a hand scoop down.  Some were simply tucked up next to old landscape timbers and were visible the moment a timber was removed.  So needless to say I basically have a flower bed with wires all over it now.  (That's not including about 30ft of old coax that came up at both ends where it had previously been cut.)

I don't care if I have the cables buried in the bed, but there is so many of them I have to cut some, and potentially have some rerouted.  More importantly they should be deeper than half a shovel blade shouldn't they?!  I can't work around all of that!

How do I get this all cleaned up without killing mine or my neighbors cable?  Is there a way I can tell which cables are carrying a signal so I know which are safe to remove?