The pour things they use in bars on liquor bottles work fabulously to fill your iron with and they fit in that size spray bottles.

I picked up a tip from Ricky Tims and spray smaller pieces of fabric or blocks using a dry iron.

What kind of iron do you have? Do you empty the water every time when you finish ironing?

I use a gallon jug of distilled water as well and a 1 cup plastic measuring cup. Easy enough for me but if this works for you then that's great.

I use a Britta water pitcher because it filters the water.

I cleaned a liquid detergent bottle (for washing clothes) and fille it then it goes into my iron when it is empty.

I seldom use the steam iron, I put a plastic table cloth on the floor, use a yard sprayer 1 1/2 gal with a 50/50 mix of liquid starch and water and spray my fabrics. Roll them and place in plastic bags. Put them in the deep freeze for some spare ironing time (great for a movie you want to watch). It also is enegry efficient because filling those empty places in the freezer keeps the air from falling out causing the compressor to work harder to bring the temperature back down. Filling the freezer with food is good too, but fabric is more fun.

I had trouble getting some creases out of fabric even when using lots of steam until I was told about the vinegar trick. Now I keep a spray bottle of 50% white vinegar/50% water handy. It is amazing how easy it is to get rid of even the crispest creases. You can vary the percentage of vinegar to water and even use neat vinegar if a crease is proving very difficult to shift, but then you might have to wash the item to get rid of the smell.
I've not tried the fridge method someone here mentioned but it's worth trying as ironing isn't my favorite activity.

Grandma left her laundry rolled and on the screen porch overnight ..something to do with the cold wet that eased out the wrinkles.

I very seldom use steam as both my irons spits and sputters water all over the place. I almost always just use a spray bottle filled with water.