The e53 4.4 came in two different versions. The pre facelift (2000-03) used the M62TU V8...the facelift (2004-06) used the new generation N62 V8 engine.
You gave no model year range. Each engine has its own issues...it just depends on which one you want to deal with. The M54 I6 has its VANOS issues, the M62 has its timing chain issues, & the N62 has its valve stem seals & intermediate lever issues.
Pick your medicine.