Category - Home Buying Questions - General Home Buying FAQ's
You can take any personal plants with you that are not attached to the ground. If they are planted in the ground they are considered improvements to the property and must be included with the house. If you want to keep certain plants and vegetation simply make the buyers aware by adding it into the contract.
References
Courtesy of HomeOwners Advantage and link that to their entry in the wiki which is at HomeOwners Advantage