My child started PT when he was 9.5 months. We used the county provided PT and at almost 10 months, he didn't need a lot of equipment. I would sign up for the DC early intervention services. I don't know what they provide, but in MC, the PT will go to the child's day care. I think it would be useful for a parent to attend every once in awhile to see the techniques the PT is getting to accomplish the skills, so the parents can help the child at other times.
You can do both private and public at the same time if you want. But see what DC will offer and go from there.
There are lots of recommendations for developmental pediatricians on this board. It can take months to get an appointment. We just called Children's Hospital and got assigned Dr. Gersh. He is not a fuzzy type of doctor, but he really knows his stuff and I like him more and more each time we see him because he is so thorough at each appointment. He reads every note (electronic) that all of my child's doctors write about him between visits so he is kept abreast of what has been happening in other departments.
We also saw the developmental area at Kennedy Kreiger and I thought the testing they gave was useful for us, but the doctor who we saw was a resident leaving in 2 months, so there was no followup. I'm sure there is a way to avoid this, but don't know what it is.