hi, my name is XXXXX XXXXX I will help you ..
I would remove the front pads and clean out any rust or dirt on the caliper housing ,where the brakes sit ,apply a small amount of grease to the caliper surfaces and then take it for a ride ,it may be that the brake pad rubs for a short time after appling the brakes before it moves away from the rotor ...jazzmaster ..
The noise is heard as I am applying the brakes, not releasing them. Are you saying that the brake pad is not getting a smooth contact as they engage?
the same thing applies here if one pad is not working (that is not going into place all the way or a little cocked) then it will make a noise ,the pads are so exposed to the elements and dirt,dust ,etc.
cleaning the caliper housing where the pads ride and also the surfaces on the pads where they make contact on the caliper and applying a small amount of grease on the caliper housing will go a long way to help this issue ...
I have heard that grease will decay the brake hoses. Is there a particular type/brand of grease that you recommend?
yes, but you are not applying that much to the caliper housing to even spatter over anything else ..
I usually use brake pad lube,these can be found at most auto parts stores
and make sure you clean any rust,dirt etc from the caliper housing where the pads sit ...jazzmaster ...