USCIS forms are easy to fill,no need for a lwayer.I will do mine till i get Citizenship.
You can't submit I-589 with I-485 for ex... you must wait for 1 year after asylum granted (I-589) then submit submit I-485
However excluding I-589, you can submit the other forms in the same time.
me and all my friends and relatives usually receive the notice after 1 week of mailing.
Priority mail is recommended