Great series to start MyBaby.
My personal journey on this series has been 1st OVA (Tsuikouhen), TV Series, Movie, 2nd OVA (Seiseouhen) and then the manga. I think because I did it this way I'm more hooked than I would've done it any other way, although there is a risk of dropping the series when you get to the TV season. But because I started with Tsuikouhen, I was really impressed with the animation and story... So you can imagine watching the TV series which is more "anime-like" I was a little deflated as my expectations was already so high. However, I gave the TV series a try anyway because the hero (Kenshin) is so intriguing due to how different he is in the TV. When I got to the second season (kyoto), that was it for me. It became my most favorite series... Every RK "thing" after that I just loved. I"m not an avid manga reader so I put off reading the manga for a long long time. You can imagine what happened after I read the manga... It was like love the second time around.
Of course I had to kick myself for waiting for so long to read it.... Just like I had to kick myself in waiting for so long to watch it. Kenshin had the worst first English dub (yes there was an older dub made that made Saitou sound like your stupid run of the mill villain and they changed the names of the characters slightly, I think Kaoru was Kaori? and Kenshin was Kenchi? Whatever... LOL) I've ever heard and so I dropped it back in 1996 or 97 since there were more anime being dubbed in the local language. I rediscovered it around 2003.
I guess I wouldn't suggest the route I took... I would suggest this
TV Series --> 1st OVA --> Movie --> Manga --> 2nd OVA
I like to keep the 1st OVA second just because after watching the 1st OVA you will definitely have formed expectations on the TV, which I don't think is a good thing... Keep 1st OVA after the TV and you will just be blown away.

I like to put the movie in the middle because it's a movie about former Aizu and soldiers on the losing side of the civil war.... Then definitely manga which builds up everything you've seen so far and then some.

I put 2nd OVA last not because it's the end of the series but because it's only slightly faithful to the manga and there is a big difference in the end but I won't spoil you. Please keep on reading the manga and when you do watch the TV series please watch until at least Kyoto arc (Kyoto arc is very faithful to the manga)
