V.,
By the sound of it you are connected to just Early Start, but are you connected to an Early Intervention Program? I have to sound naive here (really should have done a little poking around) in regard to Oregon's system, but I believe that all you need to do is contact your school districts Specialized Services program (maybe someone at Early Start can point you in the right direction?).
I worked in Washington State in EI for several years so I know their system better. However, what you are looking for is the Part B (3-5 yr old program) and this, I would imagine, would be similar to what he was getting in CA (sounds like he was in the Part C program for 0-3 yr olds). Did you move from CA with an Individualized Family Service Plan (IFSP) or an Individualized Education Plan (IEP)? If so get your paperwork together...these plans are basically transferable, plus the old paperwork is very helpful for the next program and may even save with some of the testing and goal writing they might need to do for the new program.
I am not working in this field any longer, but after the years that I did, I know just how overwhelming and confusing the system can get...best of luck to you and yours!!!
M.
P.S. If you get hopelessly lost please email me...I can try to help if you need it.