High-tech Spider Suits
There are three Spider-Man suits that appear in Spider-Man: Homecoming, but only two get worn. The first is the Captain America: Civil War suit, which Tony Stark has programmed to be more and more powerful as young Peter learns to wield his skills. The levees don't last long; when Ned is able to hack the suit open, we learn that Stark's upgrades make the Spider-suit more like a skin tight Iron Man outfit than any of the character's previous cinematic costuming. There's an A.I. named Karen/Suit Lady (voiced by Jennifer Connelly, wife of Paul Bettany who voiced Jarvis until he became Vision - keeping the suit voice over in the family), as well as different "modes" to the suit like a twice-referenced Kill Mode. The Homecoming webshooters are also capable of different types of web attacks and consistencies.
Spidey suits with Iron-Man-like features are a late addition to the Spider-Man comic book canon. Teenage Peter Parker was just enough of a genius to mix his own web fluid, but it wasn't until the character aged into adulthood that the alternate Spider-Man suits started getting tech upgrades. In the 2010s, adult Peter Parker started ramping up his technical tweaks like different types of webbing and suits designed for stealth or to cancel out sonic attacks (like a Hobgoblin laugh). The web wings used for gliding in the film are the one exception, derived from Spider-Man's original design, but the use of them as a tech feature plants them firmly in the modern age.
The third Spider-Man suit glimpsed in the movie comes after Peter has foiled The Vulture's plans. When Peter is offered a spot on The Avengers by Tony Stark, he unveils a new version of the Spider-Man suit, this one laced with gold accents and a muted blue color to further resemble and Iron Man armor -- undoubtedly a Stark design. This is, for all intents and purposes, is the "Iron Spider" suit from the comics, even though it's designed differently and doesn't prominently feature the golden spider arms that make the red and gold comic book design so striking. This suit was given to Peter by Tony Stark as a gift during the lead up to the first Marvel Civil War crossover, and later was given to Mary Jane Watson during last year's Civil War II crossover.