I played Jill on easy last week. Loaded up Chris on normal now. On normal, the first half hour or so is kind of tough. I saved in the dining room and spent a few minutes practicing dodging with the zombie in the hallway leading to the kitchen. After I got that down the game was a lot easier. After you get the sword key you can quickly get the shotgun with Chris, and then it's pretty easy going the rest of the way. From the armor key onwards there's basically no difference between Normal and Easy.
Use the Magnum on Plant 42. Takes 5 shots to kill it on Normal, and you'll get enough Magnum rounds for the Tyrant later in the game.
I might try Hard a bit later. Are there more enemies on Hard? That's the only thing I could really see adding a lot of challenge, since I've gotten it down to the point where I almost never get bitten, so more damage isn't a problem.
One important thing for the first half hour on Normal is to pick up the dagger in the upstairs dining room before you go down the hallway to get the green arrowhead. The zombie beyond the arrowhead is tough to dodge because the camera angle doesn't let you see it, so the dagger is insurance, and you won't have to burn a health item, which you have very few of at that point.
Don't bother killing the zombies in the graveyard. When it comes time to place the death masks, just take all four of them at once along with the shotgun. The graveyard zombies disappear when you've collected all the masks, and The King Crimson Head goes down in 5-6 shotgun blasts.
You've got to prioritize your zombie kills. I'd definitely take out the one standing by the east stairs save room, and probably the two in the hallway above it. You have easy access to a fuel canister right there in the save room, so no Crimson Head danger. Killing the two in the red upstairs hallway that leads to the east stairs is also good, since you'll be using that hallway a lot since the east stairs doorknob only has 2 uses before it breaks.
Don't bother killing the zombies in the arrowhead hallway. You only need to run through there once.
You can probably get away with only killing 5-6 zombies all the way up to the Shield Key. The 5 I already mentioned, and the one outside the medical storage save room. Actually, you'll probably want to kill the one in the hallway past where you find Richard, since you need to get into that room for the musical score. So 7 total through the shield key.