The HR34 requires SWM. Your dish is okay, but the LNB might have to be changed. Does your old dish have one coax coming down, or four? If four, then the LNB would need to be replaced.
As to what DVR you would get, it could be any of the HR series, but most new installs report getting an HR24 (certainly no guarantee of that though).
As to what DVR you would get, it could be any of the HR series, but most new installs report getting an HR24 (certainly no guarantee of that though).