I would try to do only those mentioned above since they are the more widely used. Of those, the Weschler is used more than the Stanford.
In general, SB favors those with non-verbal strengths; WPPSI those verbal ones.
We also did testing for gifted school admission. We tried to push it as back as possible to hope that more maturity would help. ODD was tested at 4.10 and younger one at 4.6. We had a better experience with the younger one, we liked the tester much more (more professional and knowledgeable). Her report was more useful in figuring out strengths and weaknesses.