Grats on the house
Soul Stones are always a solid investment unless you only intend to play one template. Siege does have an excellent transportation system, with Hubs, crystal portals, and public ship gating (you don't need any magery skill or regs, but you need a spellbook with at least gate spell in it). Getting a teletile set to link to one of the hubs can be very convenient, but you are close enough to a moongate. Many houses also offer public dye tubs, Rose of Trinsic, Luck Statue, etc so none of those are 'musts'. There aren't really very many 'musts' if you don't mind leaving your house. These ARE public places, however.
You will probably want to invest in an ethereal mount tho, and at some point a Commodity Deed Box.