Just FYI, you shouldn't Leash a Yorkie by it's Neck/Collar. They have rather sensitive Throats (esophagi) and can really cause them problems if damaged. One should always use Harness' on our little guys.
I've dealt with a similar problem to yours in a couple ways...
I bought three 25' pieces of 1/4" Nylon Rope and Snap Hooks, and just made a permanent outside tie point on the back Porch. Just hooked them up and turned them loose for potty and a little Sun for half to one hour.
HA yea, I had to untangle the Ropes frequently, but it was no problem given their good yard time.
On another instance, I purchased a 30' Roll of Light Gauge Fencing Material, which didn't have large enough holes in it, where my guys could get out. Got about 8 metal Stakes, and just made an enclosure for them to go out in. We were doing some construction, and I needed to block them over on one side of the yard. Worked great, went up and came down easily.
Good Luck !