Push button to switching Led effects

Other Hardware LEDs and Multiplexing
47

You probably mean this if I'm right.

void setup() {
  pinMode(BUTTON_PIN, INPUT_PULLUP);
  strip.begin(); // Initialize NeoPixel strip object (REQUIRED)
  strip.show();  // Initialize all pixels to 'off'
}

void loop() {
  // Get current button state.
  boolean newState = digitalRead(BUTTON_PIN);

  // Check if state changed from high to low (button press).
  if((newState == LOW) && (oldState == HIGH)) {
    // Short delay to debounce button.
    delay(20);
    // Check if button is still low after debounce.
    newState = digitalRead(BUTTON_PIN);
    if(newState == LOW) {      // Yes, still low
      if(++mode > 8) mode = 0; // Advance to next mode, wrap around after #8
      switch(mode) {           // Start the new animation...
        case 0:
          colorWipe(strip.Color(  0,   0,   0), 50);    // Black/off
          break;
        case 1:
          colorWipe(strip.Color(255,   0,   0), 50);    // Red
          break;

to include in this bit above what you was mention.