Flushing the cooling system with water does not accomplish too much except for flushing loose debris out of the cooling system.
The only real way of cleaning it is with a commercial chemical flush using the back flush method.
If you are going to do a good job next summer, just drain the coolant, do a quick flush with water (With the engine cold), drain it thoroughly and refill with a 50/50 mix of Ethylene Glycol and water.
When replacing hoses, it is always wise to replace them all at one time, chances are that if one hose is bad (Soft, bulged), then the others are not too far behind.When removing hoses, it is best to grab a large set of channel locks, grab the end of the hose and twist it, this will break the bond between the hose and the fitting making removal easier.
Make sure that the thermostat goes into the housing the correct way, there is a wax pellet with a spring surrounding it, this end goes toward the engine, do not use silicone sealant on the gasket, either put it together dry or use Indian Head gasket cement.