Maybe chickpeas are expensive where you live, or maybe you miscalculated. Either way, take a look at my numbers for comparison.
We can get a 3.63kg bag of chickpeas here for $7.49 (CAD). Assuming you fulfill all your Calorie and protein needs from chickpeas alone (2500 Calories and 150g protein per day), it comes out to about $600/year. That's $1.64/day. In order to be $10/day, you'd have to pay 6x as much for your chickpeas, so that same 3.63kg bag would have to cost $45.50.
You can do the protein powder first. Just make sure that when you pour in the water, it stays on top of the protein and doesn't seep through to the bottom. Then flip the bottle over, shake it (without flipping) until all the powder unsticks from the bottom, then proceed to shake normally.
Alternatively, fill the bottle with about an inch of water, add the powder, then fill the rest of the way with water and shake normally.
The problem with water first is that you can't stick the scoop into the bottle and protein powder flies off everywhere.