403bs, IRAs, RMDs, and Qualified Charitable Distributions

I have a RMD required out of my 403b.  I found out that I cannot do a Qualified Charitable Distribution directly from it.  However, I could make one out of an IRA.  I opened an IRA but cannot rollover money from the 403b to the new IRA.  I am told I must take the RMD payment first, then add a rollover to my new IRA.  For next year, I am sure I will have a RMD from the 403b, can I use the money in the new IRA to satisfy the RMD and do the Qualified Charitable Distribution?  Should I do rollovers throughout the year from my 403b to the IRA to pay the RMD?  Also, I have other RMDs from other sources.  Can I combine all the RMDs and pay them using only one IRA account and making the QCD?