The regional bicycle route R3 runs right through Steinau, along the Brüder-Grimm-Straße of course, on its way from Rüdesheim to Tann by way of Wiesbaden, Frankfurt and Hanau.
I have already mentioned the R3 on my Steinau Intro page and on my Kassel and Bad Orb pages.
The first photo shows a typical (car-free) section of the R3 a short ways upstream (east) of Steinau, on the way to Schlüchtern.
Second photo: R3 signs east of Steinau.
Third photo: Another car-free bicycle route in the same region, leading from Schlüchtern to Vollmerz.
Next: Bad Soden-Salmünster
The Regional Express trains that run once an hour between Frankfurt and Fulda -- stopping in Steinau, among other places -- all have special cars with room for bicycles to be taken along.
This special car is at the front end of the train leaving Frankfurt, and at the back end if the train is going towards Frankfurt.
They don't take reservations, but if it gets full people are very helpful about moving their bikes around so that other people can get in or out.
Bicycle transport is free in this part of Germany (southern Hessen) but in some parts of the country you have to buy an extra ticket for your bicycle.
Second photo: Another day when it wasn't so full.
Next: Regional Bicycle Route R3
These double-decker Regional Express trains leave Frankfurt Main Station at 26 minutes past every hour, and arrive in Steinau 54 minutes later. (Then they continue on to Fulda.)
The young lady in the photo has a Norma bag on the back of her bicycle, and I'm sure you have guessed that this does not refer to the opera of that name by Vincenzo Bellini (1801-1835), but rather to a chain of discount stores. There isn't any Norma store in Steinau, but there are several in Fulda and Gelnhausen, and in Frankfurt.
(I have described Bellini's opera in one of my Berlin tips, and am listening to it now as I write this.)
Second photo: Steinau station.
Third photo: A freight train ("goods train" to you) in the Kinzig Valley near Steinau.
Next: Bicycles in the Regional Express trains