I highly recommend some kind of backing track ,mainly a drum/metronome or something to get you in tempo/beat.Staying in time is VERY important
You could take it a step further and get something in a key but you don’t have to
Once you have a nice chord progression down, you can think of it as “part” verse or whatever.
I hate the whole ideal of verse chorus bridge and all, I mean it helps to organize the song, but its not necessary at all in my opinion.Write how you want to!
But just strumming chords tends to lack something , the vocals tend to be on the top as a melody line (vocals are an instrument)So you could even go back and add lead bits(guitar or other instruments) to certain parts of your chords.Again you don’t need vocals or anything else but I think it will help in the long run.
If your main focus is just strumming chords I would focus on learning more chords or better yet how to construct chords R 3RD 5TH etc….
I would also focus on getting the chord progression itself into a “groove” or ideal like once you have something you really like write down just like you would play it up stroke/down strokes how many times, chords etc…..
I am not sure what musical genre/style you like this is a nice song to learn I think specially for chords.
http://www.guitaretab.com/c/chapin-harry/3232.html
http://www.youtube.com/watch?v=zH46SmVv8SU ( He uses a capo in the song but the tab will work fine its just transposing the chords)
Notice how he has certain chord progression in the beginning, then switches to another group like he might go A C D, A C D , THEN A G G/F# (chords)
but its still all around the same ideal, and he even has some parts with a melody type thing
e|—0–0—-|20———|————|——|————|————|————|————|————|
B|————|0–3—-|0——0|—0—|————|————|———0—|————|————|
G|2———-|—-2——|—-2——|0—-|2———-|20———|——0—-|2———-|————|
D|————|————|————|——|——2—-|—2–0—-|————|————|————|
A|————|————|————|——|————|—-3—3—|0———-|————|————|
E|————|————|————|——|————|————|————|————|————|
Well its not showing up that well but you can have a little intro, bridge or “lick” “riff” to help give more to the song.
An ending note, on what DrMC what kind of mood,feeling,ideal,etc… do you want people to hear?
Will you make it happy,sad,rock,jazzy,bluesy,hip-hopishpossibly?! it can be anything! Who knows and thats up to you my friend.