I'm sorry this is an image from Houzz but to give you an idea. However, you can plot on a graph paper the walls and doors of your bathroom. Then cut out other bits of paper to scale to represent the dimensions of the tub, toilet and vanity you have in mind. Now move them around to fit. It is really the best way to work out the ideal layout for your bathroom. Hope this helps

It's a bit hard to tell, it looks like some of the proportions are not correct. Given what you have drawn it looks like entering and exiting your shower is going to be awkward. I'm not certain that you'll be able to open the door all the way because of the placement of the tub and vanity. Here are a few suggestions: Ditch the corner tub, and use a rectangular one that is installed with the long end on the wall opposite the vanity and shower and install the toilet next to the tub. Slide the door to the right, and you'll be able to have a larger vanity and/or shower. If you can use a pocket door or something of the like you'll gain wall space like sandpat mentioned. I don't see any storage planned. Have you thought about where you'll keep towels, toiletries, etc-?

Based on the dimensions you have given and the religious aspects you mention you are very restricted in what the layout can be. The best solution I see means you have to move the door towards the south by 36". I suggest you make it a pocket door retracting towards the south wall. This leaves 36" x 60" of space on the north wall for either a shower or tub. The vanity would be on the west wall ( across from the door) spaced away from the tub or shower around 12". Make sure the vanity cabinet is shallow, no more than 21" deep. The vanity should be able to be about 48" wide. The toilet will go on the South wall with the right side of it close to the East wall. Code calls for approx. 33" of width for the toilet overall. If budget allows you could continue the vanity cabinets into the corner of the south wall however keep in mind that most of that area that will be next to the toilet and not easily accessible. But it would provide extra storage or counter space. The sink will have to be centered in the 48" part of the vanity. You could also frame out the southwest corner to capture the side of the vanity instead of a longer vanity. Hope this helps.

That's what Houzz is for! There are thousands of bedrooms on this site so start combing through them, creating an Ideabook where you can collect your favourites. After a while, you'll see there's a common theme of what rooms you liked. Then you'll be better able to determine what you want to do with your own room.