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I would recommend you check TrueWay Packers and Movers Pvt. Ltd. too. However price-wise they are in the premium category too, but I prefer them to Agarwal on price and service. Have used them twice for intercity moves and they have been very professional. Even moved 2 cars and a scooter as well as an expensive piano. https://truewaymovers.com/
You can also approach smaller players but they wont have their own operation in Bangalore and will depend on someone else to unload there, who may not be very good. They wont have their own vehicle too but will get space on some vehicle going to Bangalore or hire a vehicle in case of a full load. In such cases drivers may call you and demand you unload yourself. I have faced this with a small player on a move between Mumbai to Mangalore truck reached faster than expected and the mover supposed to unload there ditched us, leaving us in the lurch. We had to arrange local laborer’s to unload. If you want a very good mover and packer who is excellent in Mumbai DM me and Ill share the number but they wont have a branch in Bangalore.
Please remember that you wont get quality services at a low rate. That is not a reasonable expectation. If you go for a mover with their own teams, vehicles, etc., then it will cost you.