I am an Msc student in Theoretical Physics, and although our official reference textbooks are most of those you mentioned (esp. Peskin & Schroeder), I would by far recommend Walter Greiner's "Field Quantization" book. i starts from the classical field theory then moves to free theory for spin 0, 1/2 and 1 particles, before finally moving to interactions with a deep coverage of LSZ reduction formula and thorough analysis and examples of Wick's Theorem. It cover less than Peskin/Schroeder, because topics like Renormalization or QCD are covered in two other books of Walter Greiner, but all the calculation are made in great detail and its the best pedagogical text which doesn't sacrifice anything in terms of physics or rigor. Some mathematical issues like the appropriate mathematical type of convergence that must be adopted within QFT are discussed in detail as well as some other topics that are usually kept for mathematicians. The book is so well explained that understanding it is not a challenge at all although the subject is actually very difficult in itself. After having read it, other books like Peskin/schroeder or Weinberg become a piece of cake to follow, and reading them becomes a pleasure instead of a torture.
Yoi can have a look at the amazon review:
https://www.amazon.com/dp/3540780483/?tag=pfamazon01-20