Biggest tip I can give is pay attention to how the school bills, make sure it is through the attached University, and not direct bill.
Everyone will progress at their own pace. I definitely understand not wanting to waste time, but don't rush it. There is no prize for being the fastest. Make sure you understand the material and procedures.
For what is worth I was 141 for Private (4 Month), Instrument (3 Month), Comm (12 Month) and CFI (3 month). With the same school I finished CFII in a week and MEI in two weeks going part 61. I didn't see a benefit to burning a lot of VA money for those two ratings.
Each of the ratings I finished I met with an Instructor about 2-3 times a week for ground and flight.
If you have any specific questions feel free to ask.