Opholik asks for a web site on Pygmy Date Palms.
The botanical name is Phoenix roebelenii.
SelecTree of California is an on-line tree selection
guide and they list Phoenix roebelenii and give
information on growth habuts, gardening requirements,
etc.
I don't have the URL for SelecTree but you might look
it up.
The tree is also listed in Sunset's Western Garden Book;
they say that it needs full sun to partial shade, regular
water, sharp draining soil, protection from the cold
(browns out at about 26 degrees F and is slow growing.