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I'm used to selecting multiple lines and hitting tab to indent them further, but this doesn't work in Pythonista.

Create the following scripts, and place in action menu

def indent():
  # """indent selected lines
    import editor
    import re
    INDENTSTR='  ' #two spaces
    i=editor.get_line_selection()   
    t=editor.get_text()
    # replace every occurance of newline with  ewline plus indent, except last newline
    editor.replace_text(i[0],i[1]-1,INDENTSTR+re.sub(r'\n',r'\n'+INDENTSTR,t[i[0]:i[1]-1]))
indent()

def unindent():
#   """unindent selected lines one level
  import editor
  import textwrap

  i=editor.get_line_selection()   
  t=editor.get_text()
  editor.replace_text(i[0],i[1], textwrap.dedent(t[i[0]:i[1]]))
unindent()

Unindent is rather stupid, and just removes the same leading white space from all lines, but doesn't try to match indent level from previous lines. If I were less lazy I'd have modified to grab previous lines leading white space, then called indent with that, after dedent.

Another useful use of dedent... executes a block in the interpreter, sort of a matlab style F9. Useful for debugging or real time coding

## executes selected lines
import editor
import textwrap

a=editor.get_text()[editor.get_line_selection()[0]:editor.get_line_selection()[1]]

exec(textwrap.dedent(a))

I think your regex breaks for the last line in files without a trailing newline.

Here is one that restores the selection, so it can be run several times in a row. Use like this.