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Measure the size and shape of new fixtures
You should be able to get most of the measurements that you need for your new bathroom fixtures from sales brochures but I like to go to the showroom and measure it up for myself. Sometimes you will realise that you might need a little more space than the brochure suggests when you see it in real life. Again be as accurate as you can with the measurements because they will be important later on.
Draw new bathroom fixtures on squared graph paper and cut them out
Using your measurements for the new fixtures, draw them accurately on your square graph paper and carefully cut them out so that you have shapes of the bathtub, toilet, washbasin, shower cubicle etc. Write on the cut outs exactly what they represent including the make and model and it's measurements. Take one of your drawings of the bare room and have fun arranging all the items in different ways until you have a design that works with your bathroom remodeling idea.
Try different arrangements and ideas for new bathroom fixtures
Spend some time trying out different ideas. Try to think 'out of the box' if you're trying to solve tricky problems or come up with something that's a little different. How about putting the bathtub in the middle of the room instead of along the wall for instance.
Draw up the final bathroom design plans
When you think that you have your final bathroom design idea, make a hard copy of it by drawing the shapes onto one of your bare room plans. Don't throw away your cut out shapes though because you might well need them later on when the contractors tell you "you can't put that there" for some reason. You might change your mind about one or two things too so have the shapes close at hand so that you can quickly test out your ideas.