If you are staying from Dhaka, it is best to take the SB link transport from Gabtali to Pakutia. Cross Saturia and descend to Pakutia Bazar and walk distance from there is Pakutia Zamindar's house. Apart from this, buses from Dhaka's Mohakhali Bus Terminal, Baram, Jhatika, Dhaleswari etc. depart regularly for Tangail. All these buses charge 200 to 250 taka.
If you want to go by train, you can check some trains from Dhaka to North Bengal stop at Tangail railway station. Then you can easily go to Tangail by train. Zamindar Bari can go by CNG from Tangail or local transport to Pakutia via Lauhati via Delduar.
Pakutia Zamindar Bari is at a distance of 15 km straight north through Saturia from Dhaka on Aricha Road via Kalampur stand. Again from Tangail district through Delduar which is located in the south, you can also go to Pakutia Zamindar's house through Lauhati.
Baliati zamindar house and Pakutia zamindar house
Baliati zamindar bari is located in Manikganj district and Pakutia zamindar bari is located in Tangail district but as they are close, one can visit both these places simultaneously in one day. In that case you can go that way depending on what you see first. The SB Link bus leaves from Gabtali in Dhaka and goes to Pakutia via Baliati. You can get down in front of Baliati zamindar house and see it and then you can go to Pakutia zamindar house by CNG or any local transport. CNG will charge Tk 25-30. If you want, you can come to Saturia in advance and visit Baliati Zamindar House.