Place the very tip of your tongue slightly between your teeth. Blow air gently around it without voicing.

Americans pronounce thunder as THUHN-der (/ˈθʌndər/). Stress falls on the first syllable — keep everything else short and quick. You'll hear it in sentences like "I wonder if the sudden thunder will disrupt the fun".
Record yourself saying "thunder" and play it back. The mic stays on your device — nothing's uploaded.
2 syllables, 5 sounds. Tap a syllable to jump to its row, then explore each sound's mouth shape and how it's made.
Place the very tip of your tongue slightly between your teeth. Blow air gently around it without voicing.

Relax your lips, jaw, and tongue completely. Drop your jaw slightly and keep the tongue neutral.
Touch the tip or front edge of your tongue to the roof of your mouth behind your teeth. Air flows through your nose.

The textbook way isn't wrong — it's just not how anyone actually says it.
Stress falls on the first syllable, not the others. Stretch THUHN — keep everything else short and quick.
Americans use a relaxed retroflex R — the tongue curls back rather than rolling. The R is one continuous sound with the vowel before it, not two separate sounds.