Ivies are commonly used in topiaries since they can easily be trained to climb, twist and twine. The most suitable ivies for indoors are all varieties of Hedera helix , English ivy. Manda's Crested has fascinating large, medium green ruffled leaves. Glacier is one of the best variegated varieties with triangular pale green leaves splashed with white. If you need an ivy with smaller leaves, Needlepoint is one of the best with small sharply pointed dark green foliage.
Sweetheart has dark green foliage and the leaves are heart-shaped.
Occasionally other species of ivy will be available such as Hedera canariensis , Algerian ivy. Just make sure you have room because some are aggressive growers. To select a healthy ivy for indoors, look for plants that are full with a lot of foliage all along the stems. Unless you are selecting a small starter plant, there should be several stems and each stem should be developing several branches. Ask if the variety you are looking at will grow in the form you want.