Place your tongue tip near the roof of your mouth behind your top teeth. Push air through the narrow gap. No voicing.

Americans pronounce startup as START-uhp (/ˈstɑrɾˌʌp/). Stress falls on the first syllable — keep everything else short and quick. You'll hear it in sentences like "The startup raised millions in funding for its innovative platform".
Record yourself saying "startup" and play it back. The mic stays on your device — nothing's uploaded.
2 syllables, 6 sounds. Tap a syllable to jump to its row, then explore each sound's mouth shape and how it's made.
Place your tongue tip near the roof of your mouth behind your top teeth. Push air through the narrow gap. No voicing.

Touch the tip or front edge of your tongue to the roof of your mouth just behind your teeth. Keep your jaw relaxed. Stop the air, then release with a puff.

Open wide for the 'ah' vowel. Lift the tongue back and up while flaring the lips for the 'r'.
Quickly bounce the front of your tongue against the roof of your mouth. Don't stop the airflow — just a quick tap.

The textbook way isn't wrong — it's just not how anyone actually says it.
In "startup", the "p" 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.
Stress falls on the first syllable, not the others. Stretch START — keep everything else short and quick.
Don't pronounce the first syllable too fully. The unstressed syllable reduces to a schwa — the lazy "uh" sound — in casual speech.
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.