Given the fact that original line is REAL OLD since it's black pipe underground since 1951 . . . . that's 60 years! . . . . I'd look at re-doing the main run to house at same time as side run over to garage. Propane company doesn't care if line is rusted out and you keep paying for propane to leak out!
My research on what KS & OK gas companies require for current installs, is that they ONLY use buried yellow plastic polyethlene pipe, at least 18 inches underground. Call Groebner & Associates in Kansas City area (4949 Hadley St, Shawnee, KS) as they are fabulous low cost wholesaler of supplies that you will need - - (913)384-1510. Plastic pipe is only 55 cents a foot and then you'll need risers at each end (these transition from underground plastic to steel above ground - - then go black steel pipe from there once above ground) - - also will need to put in Tracer wire in trench next to all yellow plastic pipe so that future "Locate" can be done by Dig-Safe. 1" risers are $40 and the Stablock connector is $27 that connects yellow plastic from riser to buried yellow plastic pipe (this works like SharkBites for plumbing, but you only get one chance to connect for O-ring to work). Chamfer tool to prepare the yellow plastic pipe for the Stablock is $30 and you'll also want lockable shutoffs $38 at top of each riser. You'll T off the main supply coming out of propane tank then down to each riser serving each underground run to respective building.
If you do all the digging, I'm guessing that total cost will be under $400 depending on distance from propane tank to house. For me, I got all supplies for detached garage underground 1" yellow plastic pipe of 25 feet and only $192 and I'll do the digging!
Remember to call Dig-Safe first to mark all your potential conflicts of other buried underground runs, before you start your digging. Not sure protocol for old run to house but I would dig it out and destroy when you put in new underground yellow plastic run. Good luck!