Being hungry after exercise is natural and okay- what you choose to eat afterwards is the issue. Some people eat more calories on days they work out to compensate. For example you are doing 1800 a day- you can probably up to 2000 calories on days you get in a good workout.
Yes drinking lots of water is good. I drink at least 8 a day, first few days it was tough and I hated running to the bathroom every 15 minutes- but now I drink at least 8 a day no problem.
You can start with walks- I know people who have lost 40+ pounds just WALKING each night at least half an hour. I bike ride and use the treadmill, I prefer to bike ride but don't have time to go out to the trails daily so I go on weekends.
Do what works for you- slow changes are more permanent than trying to do everything at once- and you don't HAVE to be perfect, if you "slip up" and eat a doughnut that doesn't mean stuff yourself the rest of the day, find out why you ate that doughnut so you know what your triggers are, then move on!
Also- make the time for you- even if you have to say "everyday from 11 am to noon I will work out" then do so- even if the house is a filthy mess LET IT BE- you are more important than cleaning the house, if you don't make time for yourself then you won't lose weight.
I guess you cook at home- look for healthier alternatives to meals and the more food you cook from scratch the healthier and more filling it will be. Try to up the fiber content of your meals also- it will help keep you fuller for longer.
And if you are really hungry (not bored/sad/tired hungry) then eat! You shouldn't feel like you are starving while dieting- I never do. You can eat an apple, or boiled egg, or something quick to help with your dieting if you still feel hungry.
I don't buy diet food cuz I feel that it doesn't help- like those 100 calorie packs- to me it's 100 calories of non-nutritious foods- I'd rather have an apple with some pb on it- much more filling and even better for you
Good luck.