Question: I would like to arrange the following three diagrams

```
\[
    \begin{tikzcd}
        Z\arrow[dr, "h", dashed]\arrow[drr, "g", bend left]\\
            &   X\arrow[r, "f"] &   Y
    \end{tikzcd}
\]

\[
    \begin{tikzcd}
        pZ\arrow[dr, "w", dashed]\arrow[drr, "pg", bend left]\\
            &   I\arrow[r, "u"] &   J
    \end{tikzcd}
\]

\[
    \begin{tikzcd}
        \mathbb{E}\arrow[d, "p"]\\
        \mathbb{B}
    \end{tikzcd}
\]

```

as they are arranged here:
[![enter image description here](https://i.stack.imgur.com/SEbhC.png)](https://i.stack.imgur.com/SEbhC.png)

What's the best way to do it?

Answer: 
I would like to argue that it is much easier if you put things in one diagram. That way you have full and easy control over all dimensions. For instance, I added `[3em] after`&`to make the gap between the left and the right two diagrams a bit larger. And, of course,`\mathbb{E}`and`\mathbb{B}` are automatically aligned with the diagrams on the right.

```
\documentclass{article}
\usepackage{amsmath,amsfonts}
\usepackage{tikz-cd}
\begin{document}
\[
    \begin{tikzcd}
     &[3em]   Z\arrow[ddr, "h", dashed]\arrow[ddrr, "g", bend left]\\[-2em] 
\mathbb{E}\arrow[ddd, "p"]   & & & \\[-2em]
     &       &   X\arrow[r, "f"] &   Y\\
     & pZ\arrow[ddr, "w", dashed]\arrow[ddrr, "pg", bend left]\\[-2em] 
\mathbb{B}   & & & \\[-2em] 
     &     &   I\arrow[r, "u"] &   J\\
    \end{tikzcd}
\]
\end{document}

```

[![enter image description here](https://i.stack.imgur.com/oHNWX.png)](https://i.stack.imgur.com/oHNWX.png)
Here there is another proposal using `xy` package used to draw a `commutative-diagrams` to obtain your same image.

In this case I have used the ambient `minipage` to have the same structure of the your picture. 

[![enter image description here](https://i.stack.imgur.com/Vsoes.png)](https://i.stack.imgur.com/Vsoes.png)

```
\documentclass[a4paper,12pt]{article}
\usepackage[all]{xy}
\usepackage{amssymb}
\begin{document}
\begin{figure}
\centering
\begin{minipage}[c][10mm]{.5\textwidth}
\centering
\xymatrix@+1pc{
\mathbb{E} \ar[d]_p  \\
\mathbb{B}}
\end{minipage}
\begin{minipage}[c]{.5\textwidth}\hspace{0cm}
\centering
\xymatrix@+.5pc{
Z  \ar@/^1.5pc/[drr]^g \ar@{-->}[dr]_h\\
& X  \ar[r]<3pt>_f & Y  
}
\vfill
\hspace{0cm}\xymatrix@+.5pc{
pZ  \ar@/^1.5pc/[drr]^{u\,\circ\, w\,=\,pg} \ar[dr]_w\\
& I  \ar[r]<3pt>_u & J  
}
\end{minipage}
\end{figure}
\end{document}

```