It sounds like you hair is prone to getting oily which is quite common, and nothing to worry over, I would recommend that you start to manage this by changing your homecare regime to something designed specifically to tackle greasy roots. Kerastase bain divalent is by far the best product on the market for this type of hair in my opinion. The shampoo is very concentrated so only requires a small amount to work (roughly the size of a fifty pence piece), it is not designed to lather on the first shampoo so donít worry of it doesnít foam up. Spread the shampoo with the flats of your hands accross the whole of your head, if itís particularly greasy use less water on the first shampoo as this will dilute the product. Once the shampoo has been spread accross the hair leave it for a minute before massaging or scrubbing, this will allow the product to work by it self and over massging can encourage the sebaceous gland to produce more oil throughout the day. I would give it 2 shampoos and then, if conditioner is needed, use something really light and just on the ends of the hair to detangle and rinse straight away. Keep the conditioner away from the roots. ...More >
I would also recommend drying your hair rather than it to dry naturally but avoid over working it, so blast dry the majority, if not all, and style as you like, drying it off rather than leaving it to dry tends dry out the hair a little bit so makes it less greasy looking.
The cut make also be weighing your hair down by the sounds of things, having a bit of scaffolding or shape to pull the hair away from the face might also give it more life and stop it feeling so dull and limp. Colour is also a great way to dry out oily roots whenever my hair needs colouring it tends to be more oily so again this could be something you might like to consider to give it a bit more hold and body.
Finally, whilst dry shampoos are great for absorbing grease i agree they can make your hair look dull and chalky, tec ni art do a fantastic hairspray in their new wild stylers range called next day hair which is a spray that contains a powder. Spray directly into the roots section by section to give body and hold without the chalky texture youíve been experiencing. This product is great as little top up through the day if youíve noticed your hair going a bit limp.
I hope this all helps and you start to see some results.