If you are allowed to drill holes into the cupboard walls, you could also add baskets, for example some like these:
http://www.ikea.com/us/en/catalog/products/10072647
http://www.ikea.com/us/en/catalog/products/54259583
If that's not possible, you could go for the kind of shelves that badkitti suggested or ones that you can jam into place, like this one:
http://www.ikea.com/us/en/catalog/products/20136564
Or if you're a little into DIY, you could build a shelf that fits right into the room in your cupboard.
As for organizing the inside of your drawers, you should definitely add some trays, bins or baskets to make sorting everything easier, like the others suggested. Maybe you won't even have to buy anything because a shoe box could just be the right size for you. Before you buy (or find) anything, you could try to take everything out and sort it into categories that make the most sense to you, like cutlery, spatulas, "things that get used near the oven", "things that get used near the sink", "things made of plastic" and so on. Then, you can assign all these things a place that makes sense either in where they are used most often (thus convenient to reach) or that makes sense because all the other things of that kind (like cutlery) are also there. This way, it will be easy for you AND your cleaner to sort things (have a talk with him or her, if it's your house, it's your system of sorting. He or she is getting paid for helping you, not to make cooking difficult). Oh, and don't forget to measure the inside of your drawers, and have fun looking for containers you like! :o)
Two ideas:
http://www.ikea.com/us/en/catalog/products/00074393
http://www.ikea.com/us/en/catalog/products/50021095