Round your lips into a tight circle. Lift the back of your tongue toward the soft palate and add voice.

Americans pronounce weird as WEERD (/wɪrd/). You'll hear it in sentences like "I fear the weird deer is near here" or "A weird beard appeared on the sheer ear" — more examples below.
Record yourself saying "weird" and play it back. The mic stays on your device — nothing's uploaded.
1 syllable, 3 sounds. Explore each sound's mouth shape and how it's made.
Round your lips into a tight circle. Lift the back of your tongue toward the soft palate and add voice.

Start with the high 'ih' position. Pull the tongue back and up while flaring the lips slightly.
Touch the tip of your tongue to the roof of your mouth just behind your teeth. Add vocal cord vibration as you release.

The textbook way isn't wrong — it's just not how anyone actually says it.
In "weird", the "d" is not released — the articulators get into position but hold without the burst of air. Air stops but there's no release burst — the articulators hold position.
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.