Accounts of Jerusalem/the journey to Jerusalem is pretty much a cottage industry in the Middle Ages. The Crusades do give rise to quite a few, although one has to be a tad prudent because not every Crusade chronicle was written by someone who saw the Levant firsthand. (But this is true of medieval travel accounts in general--the John Mandeville of Mandeville's Travels, the most popular travel lit in the late Middle Ages, did not exist as such. The text is a smorgasbord of other travel writing.)
Medieval genres don't align with modern ones, necessarily. So when we say "travel writing," there's not a lot of attention paid to descriptions of scenery and buildings and places as a general principle. (There can of course be exceptions for basically all of these general guidelines; keep that in mind). One fairly consistent feature is the emphasis on sacred geography and sacred features as opposed to physical/secular/artistic recounting. My favorite examples of this, a thousand years apart, are Egeria in late antiquity and Margery Kempe in the early 15th century:
The Itinerarium Egeriae or Pilgrimage of Egeria is one of the earliest and most popular for students to read (either in translation studying pilgrimage/late antiquity, or in an introductory Latin class). Egeria gives a rote, play-by-play of the sites that she visited on her guided tour of Sinai, the Levant, and her plans for future travel (the text survives only as a fragment, alas!). And it is always things like the tomb of Abraham or the valley where Moses spoke with God through the burning bush.
The Book of Margery Kempe recounts Kempe experiencing the sacred sites in Jerusalem associated with the Passion narrative through the Passion narrative--that is, by integrating the meditative absorption of the story practiced in medieval Christian prayer to the point of producing "visions" (inducing sensory experiences) into the actual supposed locations. Kempe went with a legit tour group, too, and you see a few of the details around that.
If you've got a lot of time on your hands, the two I would recommend that are available online for free in English are by Felix Fabri (click through to Wiki; the four volumes are linked there) in the 15th century and Jacques de Vitry in the 13th. Both clerical authors see themselves writing history as much as personal narrative/devotional texts (Egeria is a diary/letter; Kempe is an autohagiography/spiritual journal), and both pay attention to people as well as place, which is fun.
Finally, one secondary source I would definitely recommend is Nicole Chareyron, Pilgrims to Jerusalem in the Middle Ages. She collates pilgrim accounts to talk about the logistics as well as the experience of the pilgrimage. It's a type of history writing that isn't so popular in academia but is very useful and, more importantly, fascinating.