Preprocessing Dataset with Large Categorical Variables
You can have a look if your categorical variables are suitable for a Spearman rank correlation, which ranks the categorical variables and calculates the correlation coefficient. However, be careful for collinearity between the categorical variables.
I have tried to find out basic answers for this question, but none on Stack Overflow seems a best fit. 
I have a dataset with 40 columns and 55,000 rows. Only 8 out of these columns are numerical. The remaining 32 are categorical with string values in each.
Now I wish to do an exploratory data analysis for a predictive model and I need to drop certain irrelevant columns that do not show high correlation with the target (variable to predict). But since all of these 32 variables are categorical what can I do to see their relevance with the target variable?
What I am thinking to try:

LabelEncoding all 32 columns then run a Dimensional Reduction via PCA, and then create a predictive model. (If I do this, then how can I clean my data by removing the irrelevant columns that have low corr() with target?)
One Hot Encoding all 32 columns and directly run a predictive model on it. 
(If I do this, then the concept of cleaning data is lost totally, and the number of columns will skyrocket and the model will consider all relevant and irrelevant variables for its prediction!)

What should be the best practice in such a situation to make a predictive model in the end where you have many categorical columns?