The use of a lyse/fix solution prior to antibody staining is a simple and robust method. Data sheets from the companies have all the relevant information on them for you to follow.
Most of the protocols are pretty standard (both surface and intracellular). Almost any company that sells the antibodies will have a protocol for you to use.
The easiest is to lyse the RBCs and than stain.
The volume of whole blood need is usually only 100uL.
If you don't want to lyse the RBCs... well... the staining is still the same... but the analysis will require some one with more experience.
The staining protocol isn't the issue, the issue will be the analysis protocol on the flow machine. I would just ask someone who is well versed in flow to help you.