Hi Bob---our trip was a guided hiking trip with REI, and transport was provided, both between locations and to the trailheads. I did not pay that much attention to the geography as I did not plan the trip. So our bases may not have been the best for independent travelers. But we enjoyed our stays at Lake Bohinj (near Bled but much less developed) and Kobarid (in the Soca Valley).
I looked at other guided hiking trips and found one that uses Lake Bled as a base for the whole one-week trip, driving to trailheads from there. Bled is a nice town with lots of hotels, pensiones, and restaurants, and probably vacation apartments as well. But I do not know how long the drive would be from there to trailheads in the Julian Alps.
Another hiking company uses Lake Bohinj as a base, actually the same hotel where we stayed. But the walks we did from there were forest walks (including a nice waterfall), not alpine. For the national park they use a different base, but I cannot pinpoint it. You could check their itinerary on the Mountain Travel Sobek website to see if the descriptions and drive times sound appealing.
We found Slovenia to be very appealing, with a warm welcome, good food and wine, lower prices than Italy or Switzerland, lots of English spoken, very nice accommodations, and lovely scenery. I would love to go back, as we did not have the best weather and had to cut short some of our hikes because of snow, wind, or rain.