If you follow the conventional “wisdom” and plan on leaving KM around Ray Day (6/15) there is virtually nothing to worry about except frying in the desert before you get there.
However, I’m a lot more comfortable in snowy mountains than waterless desert, so I would go earlier. As said before, get an ice axe and know how to use it, which may mean going up to Nub’s or Boyne this winter and practicing self arrest. By late in the spring some chutes can be very icy. Personally, when I go back I intend to take full 12 pt. crampons (unless it’s a very low snow year), which allow me to move like the wind. They currently make 12 pts. in aluminum or titanium that are quite light, and, while worthless for technical climbing, should be more than adequate for backcountry packing. Instep crampons and the like are just plain worthless, you’d be better off packing some extra Cliff bars for the weight. The corollary to this is to save the running shoes for the desert and points north. If you are going in early enough that snow is a concern, use boots.
Finally, something you probably haven’t had to address in your MI trips, learn all you can about avalanches. For most PCT hikers the only ones to worry about are afternoon wet snow avalanches. Go in early enough that you might get hit by a late spring snow storm(s), then you need to understand windslab. I’m constantly amazed that there haven’t been more thru-climbers zapped by avalanches.
Pappy