Tikz-cd arrow tips

Question

I changed the commutative diagrams in a LaTeX document from xypic to tikz-cd. I must add that I also have some tikz diagrams with arrows (for example, Dynkin diagrams). Initially I had some problems matching the arrow tips for tikz diagrams and tikz-cd diagrams, but thanks to the comments bellow I was able to fix this.

My question now is how to globally set the arrow tips to something more agreeable (to me), for example with

\tikzset{>=Straight Barb}

(I am not sure about the names of the arrow tips)

Following the comments below I was able to get a minimal running example with the CM arrrow tips:

\documentclass{amsart} 
\usepackage[usenames,dvipsnames]{xcolor} 
\usepackage{tikz} 
%\tikzset{>=latex}
\usepackage{tikz-cd}
\usetikzlibrary{arrows.meta}
\usetikzlibrary{matrix,arrows,decorations.pathmorphing}%
\tikzcdset{arrow style=tikz}

\begin{document}
\begin{equation*}
\begin{tikzcd}
A \arrow{r}{f} \arrow[two heads]{d}[swap]{x} & C\arrow[two heads]{d} \\
B \arrow{r}[swap]{g}   &  D
\end{tikzcd}
\end{equation*}
\bigskip

\begin{center}
\begin{tikzpicture}[scale=1.2]
\draw[red, thick,->] (2,0) -- (3,0);
\draw[thick,-] (2,0) -- (2,1);
\draw[thick,-] (2,0) -- (1,0);
\draw[thick,-] (2,0) -- (2,-1);
\draw[fill=red] (2,0) circle(.02);  
\draw[red, thick,->] (2,0) -- (2.707,0.707);
\draw[red,thick,->] (2,0) -- (2.707,-0.707);
\draw[thick,->] (2,0) -- (1.293,0.707);
\draw[thick,->] (2,0) -- (1.293,-0.707);
\end{tikzpicture} 
\end{center}
\end{document}

Answer 1

I suspect that you after the following:

For changing arrows' heads in tikz-cd diagrams you need to define something like this (for global settings in document's preamble):

\tikzcdset{arrow style=tikz,
           diagrams={>=Straight Barb}
           }

For similar changes in tikzpictures, you need to define them by \tikzset in document preamble for global settings or put its in tikzpicture options for local settings as is done in following MWE:

\documentclass[usenames, dvipsnames]{amsart}
\usepackage{tikz-cd}
\usetikzlibrary{arrows.meta,        
                decorations.pathmorphing,
                matrix}%
\tikzcdset{arrow style=tikz,
           diagrams={>=Straight Barb}
           }
           

\begin{document}
    \[
\begin{tikzcd}
A   \ar[r,"f"]    
    \ar[d,two heads,"x"]    &   C   \ar[d, two heads, "d"]   \\
B   \ar[r,"g"]              &   D
\end{tikzcd}
    \]
\bigskip
    \[
    \begin{tikzpicture}[scale=1.2,
  arr/.style = {draw=#1, thick, -Straight Barb},
arr/.default = red
                        ]
\draw[arr]  (2,0) -- (3,0);
\draw[thick]    (2,1) -- (2,-1)
                (2,0) -- (1,0);
\draw[arr]  (2,0) -- (2.707,0.707);
\draw[arr]  (2,0) -- (2.707,-0.707);
\draw[arr=black] (2,0) -- (1.293,0.707);
\draw[arr=black] (2,0) -- (1.293,-0.707);
\fill[red]  (2,0) circle[radius=1mm];
    \end{tikzpicture}
    \]
\end{document}

Addendum:

Defining of type of the arrows' heads can be global (with style definitions in documents' preambles, or local, if they are part of figures. An example of combination of the global and local settings is present in the following MWE:

\documentclass[usenames, dvipsnames]{amsart}
\usepackage{tikz-cd}
\usetikzlibrary{arrows.meta,        
                decorations.pathmorphing,
                matrix}%
\tikzcdset{arrow style=tikz,
           diagrams={>=Straight Barb}
           }    % global setting for arrow heads in tikz-cd diagrams
\tikzset{>=Straight Barb
           }    % global settings for arrow heads in tikzpicturres
           

\begin{document}
    \[
\begin{tikzcd}
A   \ar[r,"f"]    
    \ar[d,two heads,"x"]    &   C   \ar[d, two heads, "d"]   \\
B   \ar[r,"g"]              &   D
\end{tikzcd}
    \]
\bigskip
    \[
    \begin{tikzpicture}[
% local settings use global and if needed overwrite global one
       scale = 1.2,
  arr/.style = {draw=#1, thick, ->}, % for the arrowheads is used global setting  
arr/.default = red
                        ]
\draw[arr]  (2,0) -- (3,0);
\draw[thick]    (2,1) -- (2,-1)
                (2,0) -- (1,0);
\draw[arr]  (2,0) -- (2.707,0.707);
\draw[arr]  (2,0) -- (2.707,-0.707);
\draw[arr=black] (2,0) -- (1.293,0.707);
\draw[arr=black] (2,0) -- (1.293,-0.707);
\fill[red]  (2,0) circle[radius=1mm];
    \end{tikzpicture}
    \]
\end{document}

Result is the same as before.