By plane
Kochi International Airport is located in Nedumbassery - approx 35 Km from the town. There are flights to and from Colombo, Dubai, AbuDhabi, Singapore, Sharjah, Jeddah, Muscat, Mumbai, Chennai, Delhi, Hyderabad and Bangalore. Take a prepaid/normal taxi to Muvattupuzha.
By train
You can reach Muvattupuzha from other cities Thiruvananthapuram Trivandrum, Kozhikode Calicut, Chennai, Bangalore, Bombay, New Delhi, Kolkata by train upto the near by town Aluva,Kochi or Kottayam. There are two major Railway stations in Kochi Ernakulam Town and Ernakulam Junction, locally known as North and South railway stations. The Indian Railways (http://www.indianrail.gov.in) serves Cochin with a number of train services connecting it to other parts of the state and the country. From Kochi in a little over an hour by bus or in mere 45 minutes by car you can reach Muvattupuzha.
Another option is to get down at Aluva Railway station and catch a bus to Muvattupuzha which is 34kms. This is closer than Cochin and since the bus station is just next to the railway station you can save some money and time to reach get to the bus.
If you are coming from southern end of state,get down at Kottayam Railway Station which is 42kms away.KSTRC buses are available from Nagambadom or Kottayam bus station around the clock.It takes around one and a half hours to reach by bus via M.C.Road .
By Car And Truck
There are also "parallel services" running between cities in Kerala. These are normally run parallel to the KSRTC service by private operators on the same routes and is normally a car-share or sharing a mini SUV. A tout would walk around a bus station informing people about the service. These are a bit more expensive than the normal bus service, but is marginally faster and is considered an option if you miss your bus. These are technically unauthorised, but it is the driver's responsibility to pay the relevant bribes.
By bus
Muvattupuzha is accessible from all parts of the state via road. National HighwayNH 49 and MC road passes through the town besides many important roads. State run Kerala Road Transport Corporation K.S.R.T.C. bus services and Private buses ply between towns.Ernakulam city is approximately 42 km away.There are tourist buses connecting Muvattupuzha from Mumbai,Bangalore,Chennai,Mangalore,Coimbatore etc.K.S.R.T.C runs chain services between Ernakulam and Thodupuzha via Muvattupuzha also, between Thrissur and Kottayam via Muvattupuzha besides other long distance services passes through the town.
If travelling as part of a large group 14+ it is better to book a tourist coach that would take you to your destination. They also would take you sightseeing and is available in most of the cities. The full rates for the trips should be negotiated prior to departure to Kochi or anywhere else for that matter.