If you want to focus on a few fit measures, you might consider the implicit recommendation of Browne and Mels (1992), who elect to report only the following fit measures:
▪CMIN
▪P
▪FMIN
▪F0 with 90% confidence interval
▪RMSEA with 90% confidence interval
▪ECVI with 90% confidence interval
For the case of maximum likelihood estimation, Browne and Cudeck (Browne & Cudeck, 1989; Browne & Cudeck, 1993) suggest substituting MECVI for ECVI.