Depends what unit the EOD team is. Us Brits have a parachute trained EOD squadron in the Army for deployment with the Parachute Regiment and 16 Air Assault Brigade. I believe the Army also provides Commando-trained EOD personnel for 3 Commando Brigade. As far as I know the RAF EOD teams have no parachute capability, but I do believe that some Royal Navy Clearance Divers do go on to do parachute training.
Does anyone know if the Joint CBRN Regiment has some basic EOD training as part of their training. I know that they have worked closely with EOD teams while on operations. http://www.flawlessmedia.co.uk/jnbc/
Yes I believe that the British Army EOD teams are going to recieve a number of Mastiff vehicles. The RAF EOD teams currently use the Spartan CVR(T), which will eventually be replaced by the Panther CLV.
US Navy (USN) Mineman (MN) Chief Petty Officer (CPO) Garry Myers, Explosive Ordnance Disposal (EOD) Mobile Unit 4, provides perimeter security at a natural gas well fire in the Rumaylah Oil Field in Southern Iraq, in support of Operation IRAQI FREEDOM.