Start with high-confidence bayesian analysis books, then narrow by subgenre or adjacent topics.
Machine Learning
Kevin P. Murphy
Probabilistic Robotics
Sebastian Thrun, Wolfram Burgard
Nonparametric Statistical Methods
Myles Hollander, Douglas A. Wolfe
Understanding Uncertainty
Dennis V. Lindley
An Introduction to Probability and Statistics
Vijay K. Rohatgi, A. K. Md. Ehsanes Saleh
Applied Regression Modeling
Iain Pardoe
Think Bayes
Allen Downey
Bayesian Statistics the Fun Way
Will Kurt
Everything Is Predictable
Tom Chivers