Yeah speed bleeders are great.
I have an 02 and I did tundra brake upgrade and it was a nightmare to get the air out. I did it a million times haha. even used tech stream to cycle the abs. It did get better. Do it off, do it while its running and do it over and over again if it feels soft.
Not sure if you have a 01-02, just in case thought Id give the warning.
I agree with just burning off shoes, its not alot of work to clean but still extra work thats not needed, spend that time on bleeding.