Is there any easy way to book flights that displays the plane model information?

In theory probably. On sites like:

https://matrix.itasoftware.com/search

https://www.flighthub.com

https://www.ca.kayak.com

any many others.

In practice not so much, because of so called "code sharing" of flight numbers.

https://en.wikipedia.org/wiki/Codeshare_agreement

Which can lead to sudden surprises, because the plane/carrier changed for whichever operational reasons at the last minute.